Given numbers are 975,506,336,207

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

The LCM of 975,506,336,207 is 82882800.

Find LCM of 975,506,336,207 with Prime Factorization

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

2 x 3 x 23 x 325 x 11 x 56 x 3 = 82882800

Therefore, the lowest common multiple of 975,506,336,207 is 82882800.

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.

975 x 506 x 336 x 207 = 34313479200

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

506 : 1, 2, 11, 22, 23, 46, 253, 506

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,506,336,207, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

506:2x 11x 23

336:2x 2x 2x 2x 3x 7

207:3x 3x 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 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 34313479200/(1x414)

LCM = 34313479200/414

LCM = 82882800

Thus, we can understand that the LCM of 975,506,336,207 is 82882800.

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

• LCM of 874, 109, 917, 640
• LCM of 857, 995, 343, 503
• LCM of 293, 943, 971, 754
• LCM of 842, 759, 648, 655
• LCM of 776, 377, 396, 766

1. What is the LCM of 975, 506, 336, 207?

Answer: LCM of 975, 506, 336, 207 is 82882800.

2. How to calculate the LCM of 975, 506, 336, 207?

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 975, 506, 336, 207.

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}.