What is the LCM of 7 and 140 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 7 and 140

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 7 and 140 is 140, where 7 and 140 are less than 140.
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(7, 140) = LCM(140, 7).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 7 and 140 by Listing Method

Find some first multiples of 7 and 140.
Find the least common multiple, and read off the answer!

Example: Find lcm of 7 and 140 by Listing Method

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714, 721, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798, 805, 812, 819, 826, 833, 840, 847, 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, 924, 931, 938, 945, 952, 959, 966, 973, 980
Multiples of 140: 140, 280, 420, 560, 700, 840, 980

Hence, LCM of 7 and 140 is 140.

Steps to find LCM of 7 and 140 by Common Division Method

Find all the prime numbers that would divide 7 and 140 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 7 and 140 by Common Division Method

2	7 140
2	7 70
5	7 35
7	7 7
	1 1

Hence, LCM of 7 and 140 is 2 x 2 x 5 x 7 = 140.

Steps to find lcm of 7 and 140 by Formula

The formula for LCM is LCM (7, 140) = (7 x 140) / GCF (7, 140)
Apply the formula, and read off the answer!

Example: Find lcm of 7 and 140 by Formula

GCF of 7 and 140 = 7
LCM of 7 and 140 = (7 x 140) / 7
=> 980 / 7

Hence, LCM of 7 and 140 is 140.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 7 and 140 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 7 and 140 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 7 and 140.
So, LCM of 7 and 140 is 140.

Boxes that are 7 inches tall are being pilled next to boxes that are 140 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 7 and 140.
So, LCM of 7 and 140 is 140.

Sammy's company prints 7 textbooks at a time. Daniel's company prints textbooks in sets of 140 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 7 and 140.
So, LCM of 7 and 140 is 140.

Ariel exercises every 7 days and Rubel every 140 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 7 and 140 is 140.

Find the LCM of 7 and 140 using GCF method.

Greatest common factor or gcf of 7 and 140 is GCF(7, 140) x LCM(7, 140) = (7 x 140) / GCF(7, 140) = 140.

Find the least common multiple of 7 and 140.

Least common multiple of 7 and 140 is 140.

Find the least number which is exactly divisible by 7 and 140.

Least number which is exactly divisible by 7 and 140 is 140.

What is LCM of 7 and 140?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 7 and 140 by Listing Method

Example: Find lcm of 7 and 140 by Listing Method

Steps to find LCM of 7 and 140 by Common Division Method

Example: Find lcm of 7 and 140 by Common Division Method

Steps to find lcm of 7 and 140 by Formula

Example: Find lcm of 7 and 140 by Formula

Examples

What is LCM of 7 and 140?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 7 and 140 by Listing Method

Example: Find lcm of 7 and 140 by Listing Method

Steps to find LCM of 7 and 140 by Common Division Method

Example: Find lcm of 7 and 140 by Common Division Method

Steps to find lcm of 7 and 140 by Formula

Example: Find lcm of 7 and 140 by Formula

Examples

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