Given numbers are 678,342,157,852,966

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 678,342,157,852,966 is 138713401764.

Find LCM of 678,342,157,852,966 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 113 x 57 x 157 x 142 x 161 = 138713401764

Therefore, the lowest common multiple of 678,342,157,852,966 is 138713401764.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

678 x 342 x 157 x 852 x 966 = 29962094781024

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

678 : 1, 2, 3, 6, 113, 226, 339, 678

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

157 : 1, 157

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,342,157,852,966, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

342:2x 3x 3x 19

157:157

852:2x 2x 3x 71

966:2x 3x 7x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29962094781024/(1x216)

LCM = 29962094781024/216

LCM = 138713401764

Thus, we can understand that the LCM of 678,342,157,852,966 is 138713401764.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 797, 110, 287, 333, 885
• LCM of 130, 694, 890, 528, 545
• LCM of 608, 921, 550, 478, 337
• LCM of 420, 388, 222, 558, 380
• LCM of 956, 178, 645, 118, 124

1. What is the LCM of 678, 342, 157, 852, 966?

Answer: LCM of 678, 342, 157, 852, 966 is 138713401764.

2. How to calculate the LCM of 678, 342, 157, 852, 966?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 678, 342, 157, 852, 966.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.