Given numbers are 771,306,528,610,507

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

The LCM of 771,306,528,610,507 is 356716966320.

Find LCM of 771,306,528,610,507 with Prime Factorization

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

2 x 3 x 257 x 51 x 88 x 305 x 169 = 356716966320

Therefore, the lowest common multiple of 771,306,528,610,507 is 356716966320.

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.

771 x 306 x 528 x 610 x 507 = 38525432362560

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.

771 : 1, 3, 257, 771

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

610 : 1, 2, 5, 10, 61, 122, 305, 610

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,306,528,610,507, is 1.

Now, the common factors can be found like this.

771:3x 257

306:2x 3x 3x 17

528:2x 2x 2x 2x 3x 11

610:2x 5x 61

507:3x 13x 13

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 38525432362560/(1x108)

LCM = 38525432362560/108

LCM = 356716966320

Thus, we can understand that the LCM of 771,306,528,610,507 is 356716966320.

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

• LCM of 314, 420, 283, 671, 491
• LCM of 816, 184, 424, 422, 696
• LCM of 715, 453, 616, 218, 638
• LCM of 703, 465, 779, 470, 553
• LCM of 303, 940, 520, 788, 207

1. What is the LCM of 771, 306, 528, 610, 507?

Answer: LCM of 771, 306, 528, 610, 507 is 356716966320.

2. How to calculate the LCM of 771, 306, 528, 610, 507?

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 771, 306, 528, 610, 507.

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}.