Given numbers are 129,706,360,952,378

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

The LCM of 129,706,360,952,378 is 1950805080.

Find LCM of 129,706,360,952,378 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 43 x 353 x 5 x 17 x 3 = 1950805080

Therefore, the lowest common multiple of 129,706,360,952,378 is 1950805080.

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.

129 x 706 x 360 x 952 x 378 = 11798469123840

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.

129 : 1, 3, 43, 129

706 : 1, 2, 353, 706

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,706,360,952,378, is 1.

Now, the common factors can be found like this.

129:3x 43

706:2x 353

360:2x 2x 2x 3x 3x 5

952:2x 2x 2x 7x 17

378:2x 3x 3x 3x 7

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 2x 2x 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 11798469123840/(1x6048)

LCM = 11798469123840/6048

LCM = 1950805080

Thus, we can understand that the LCM of 129,706,360,952,378 is 1950805080.

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

• LCM of 284, 960, 226, 807, 287
• LCM of 954, 364, 684, 620, 467
• LCM of 892, 449, 141, 403, 123
• LCM of 902, 681, 639, 620, 524
• LCM of 526, 705, 759, 288, 480

1. What is the LCM of 129, 706, 360, 952, 378?

Answer: LCM of 129, 706, 360, 952, 378 is 1950805080.

2. How to calculate the LCM of 129, 706, 360, 952, 378?

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 129, 706, 360, 952, 378.

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}.