What is the LCM of 168 and 180 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 168 and 180 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(168, 180).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 168 and 180 is 2520, where 168 and 180 are less than 2520.
LCM is associative which means LCM(168, 180) = LCM(180, 168).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two or more prime numbers is their product.

Steps to find lcm of 168 and 180 by Listing Method

Find some first multiples of 168 and 180.
Find the least common multiple, and read off the answer!

Example: Find lcm of 168 and 180 by Listing Method

Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896, 8064, 8232, 8400, 8568, 8736, 8904, 9072, 9240, 9408, 9576, 9744, 9912, 10080, 10248, 10416, 10584, 10752, 10920, 11088, 11256, 11424, 11592, 11760, 11928, 12096, 12264, 12432, 12600, 12768, 12936, 13104, 13272, 13440, 13608, 13776, 13944, 14112, 14280, 14448, 14616, 14784, 14952, 15120, 15288, 15456, 15624, 15792, 15960, 16128, 16296, 16464, 16632, 16800, 16968, 17136, 17304, 17472, 17640, 17808, 17976, 18144, 18312, 18480, 18648, 18816, 18984, 19152, 19320, 19488, 19656, 19824, 19992, 20160, 20328, 20496, 20664, 20832, 21000, 21168, 21336, 21504, 21672, 21840, 22008, 22176, 22344, 22512, 22680, 22848, 23016, 23184, 23352, 23520, 23688, 23856, 24024, 24192, 24360, 24528, 24696, 24864, 25032, 25200, 25368, 25536, 25704, 25872, 26040, 26208, 26376, 26544, 26712, 26880, 27048, 27216, 27384, 27552, 27720, 27888, 28056, 28224, 28392, 28560, 28728, 28896, 29064, 29232, 29400, 29568, 29736, 29904, 30072, 30240
Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920, 8100, 8280, 8460, 8640, 8820, 9000, 9180, 9360, 9540, 9720, 9900, 10080, 10260, 10440, 10620, 10800, 10980, 11160, 11340, 11520, 11700, 11880, 12060, 12240, 12420, 12600, 12780, 12960, 13140, 13320, 13500, 13680, 13860, 14040, 14220, 14400, 14580, 14760, 14940, 15120, 15300, 15480, 15660, 15840, 16020, 16200, 16380, 16560, 16740, 16920, 17100, 17280, 17460, 17640, 17820, 18000, 18180, 18360, 18540, 18720, 18900, 19080, 19260, 19440, 19620, 19800, 19980, 20160, 20340, 20520, 20700, 20880, 21060, 21240, 21420, 21600, 21780, 21960, 22140, 22320, 22500, 22680, 22860, 23040, 23220, 23400, 23580, 23760, 23940, 24120, 24300, 24480, 24660, 24840, 25020, 25200, 25380, 25560, 25740, 25920, 26100, 26280, 26460, 26640, 26820, 27000, 27180, 27360, 27540, 27720, 27900, 28080, 28260, 28440, 28620, 28800, 28980, 29160, 29340, 29520, 29700, 29880, 30060, 30240

Hence, LCM of 168 and 180 is 2520.

Steps to find LCM of 168 and 180 by Common Division Method

Find all the prime numbers that would divide 168 and 180 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 168 and 180 by Common Division Method

2	168 180
2	84 90
2	42 45
3	21 45
3	7 15
5	7 5
7	7 1
	1 1

Hence, LCM of 168 and 180 is 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520.

Steps to find lcm of 168 and 180 by Formula

The formula for LCM is LCM (168, 180) = (168 x 180) / GCF (168, 180)
Apply the formula, and read off the answer!

Example: Find lcm of 168 and 180 by Formula

GCF of 168 and 180 = 12
LCM of 168 and 180 = (168 x 180) / 12
=> 30240 / 12

Hence, LCM of 168 and 180 is 2520.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 168 and 180 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 168 and 180 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 168 and 180.
So, LCM of 168 and 180 is 2520.

A shopkeeper sells candies in packet of 168 and chocolates in packet of 180. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 168 and 180.
So, LCM of 168 and 180 is 2520.

Both the cricket team and the rugby team had games, today. The cricket team plays every 168 days and the basketball team plays every 180 days. When will both teams have games on the same day again?

Given that the cricket team plays every 168 days and the basketball team plays every 180 days, so for finding the next time when both teams will play again we need to find the LCM of 168 and 180.
So, LCM of 168 and 180 is 2520.

Sammy's company prints 168 textbooks at a time. Daniel's company prints textbooks in sets of 180 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 168 and 180.
So, LCM of 168 and 180 is 2520.

Ariel exercises every 168 days and Rubel every 180 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 168 and 180 is 2520.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 168 and 180 is GCF(168, 180) * LCM(168, 180) = (168 x 180) / GCF(168, 180) = 2520.

Find the least number which is exactly divisible by 168 and 180.

Least number which is exactly divisible by 168 and 180 is 2520.

What is LCM of 168 and 180?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 168 and 180 by Listing Method

Example: Find lcm of 168 and 180 by Listing Method

Steps to find LCM of 168 and 180 by Common Division Method

Example: Find lcm of 168 and 180 by Common Division Method

Steps to find lcm of 168 and 180 by Formula

Example: Find lcm of 168 and 180 by Formula

Examples

What is LCM of 168 and 180?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 168 and 180 by Listing Method

Example: Find lcm of 168 and 180 by Listing Method

Steps to find LCM of 168 and 180 by Common Division Method

Example: Find lcm of 168 and 180 by Common Division Method

Steps to find lcm of 168 and 180 by Formula

Example: Find lcm of 168 and 180 by Formula

Examples

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