What is the LCM of 245 and 49 - Find out answer step by step

Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 245 and 49, is defined as the smallest positive integer that is divisible by both. It is written as LCM(245, 49).

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(245, 49) = LCM(49, 245).
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 given numbers is always greater than the given numbers numbers. Eg- LCM of 245 and 49 is 245, where 245 is greater than 245 and 49.

Steps to find lcm of 245 and 49 by Listing Method

Find some first multiples of 245 and 49.
Find the least common multiple, and read off the answer!

Example: Find lcm of 245 and 49 by Listing Method

Multiples of 245: 245, 490, 735, 980, 1225, 1470, 1715, 1960, 2205, 2450, 2695, 2940, 3185, 3430, 3675, 3920, 4165, 4410, 4655, 4900, 5145, 5390, 5635, 5880, 6125, 6370, 6615, 6860, 7105, 7350, 7595, 7840, 8085, 8330, 8575, 8820, 9065, 9310, 9555, 9800, 10045, 10290, 10535, 10780, 11025, 11270, 11515, 11760, 12005
Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087, 3136, 3185, 3234, 3283, 3332, 3381, 3430, 3479, 3528, 3577, 3626, 3675, 3724, 3773, 3822, 3871, 3920, 3969, 4018, 4067, 4116, 4165, 4214, 4263, 4312, 4361, 4410, 4459, 4508, 4557, 4606, 4655, 4704, 4753, 4802, 4851, 4900, 4949, 4998, 5047, 5096, 5145, 5194, 5243, 5292, 5341, 5390, 5439, 5488, 5537, 5586, 5635, 5684, 5733, 5782, 5831, 5880, 5929, 5978, 6027, 6076, 6125, 6174, 6223, 6272, 6321, 6370, 6419, 6468, 6517, 6566, 6615, 6664, 6713, 6762, 6811, 6860, 6909, 6958, 7007, 7056, 7105, 7154, 7203, 7252, 7301, 7350, 7399, 7448, 7497, 7546, 7595, 7644, 7693, 7742, 7791, 7840, 7889, 7938, 7987, 8036, 8085, 8134, 8183, 8232, 8281, 8330, 8379, 8428, 8477, 8526, 8575, 8624, 8673, 8722, 8771, 8820, 8869, 8918, 8967, 9016, 9065, 9114, 9163, 9212, 9261, 9310, 9359, 9408, 9457, 9506, 9555, 9604, 9653, 9702, 9751, 9800, 9849, 9898, 9947, 9996, 10045, 10094, 10143, 10192, 10241, 10290, 10339, 10388, 10437, 10486, 10535, 10584, 10633, 10682, 10731, 10780, 10829, 10878, 10927, 10976, 11025, 11074, 11123, 11172, 11221, 11270, 11319, 11368, 11417, 11466, 11515, 11564, 11613, 11662, 11711, 11760, 11809, 11858, 11907, 11956, 12005

Hence, LCM of 245 and 49 is 245.

Steps to find LCM of 245 and 49 by Common Division Method

Find all the prime numbers that would divide 245 and 49 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 245 and 49 by Common Division Method

5	245 49
7	49 49
7	7 7
	1 1

Hence, LCM of 245 and 49 is 5 x 7 x 7 = 245.

Steps to find lcm of 245 and 49 by Formula

The formula for LCM is LCM (245, 49) = (245 x 49) / GCF (245, 49)
Apply the formula, and read off the answer!

Example: Find lcm of 245 and 49 by Formula

GCF of 245 and 49 = 49
LCM of 245 and 49 = (245 x 49) / 49
=> 12005 / 49

Hence, LCM of 245 and 49 is 245.

Examples

Steve spends 245 dollars every day while George spends 49 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 245 and 49.
So, LCM of 245 and 49 is 245.

Boxes that are 245 inches tall are being pilled next to boxes that are 49 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 245 and 49.
So, LCM of 245 and 49 is 245.

Sammy's company prints 245 textbooks at a time. Daniel's company prints textbooks in sets of 49 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 245 and 49.
So, LCM of 245 and 49 is 245.

Ram and Deepika are running on a circular track. They start at the same time. They take 245 and 49 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 245 and 49 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 245 and 49.
So, LCM of 245 and 49 is 245.

Find the LCM of 245 and 49 using GCF method.

Greatest common factor or gcf of 245 and 49 is GCF(245, 49) x LCM(245, 49) = (245 x 49) / GCF(245, 49) = 245.

Find the least common multiple of 245 and 49.

Least common multiple of 245 and 49 is 245.

Find the least number which is exactly divisible by 245 and 49.

Least number which is exactly divisible by 245 and 49 is 245.

What is LCM of 245 and 49?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 245 and 49 by Listing Method

Example: Find lcm of 245 and 49 by Listing Method

Steps to find LCM of 245 and 49 by Common Division Method

Example: Find lcm of 245 and 49 by Common Division Method

Steps to find lcm of 245 and 49 by Formula

Example: Find lcm of 245 and 49 by Formula

Examples

What is LCM of 245 and 49?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 245 and 49 by Listing Method

Example: Find lcm of 245 and 49 by Listing Method

Steps to find LCM of 245 and 49 by Common Division Method

Example: Find lcm of 245 and 49 by Common Division Method

Steps to find lcm of 245 and 49 by Formula

Example: Find lcm of 245 and 49 by Formula

Examples

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