Given numbers are 760,644,968,468

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

The LCM of 760,644,968,468 is 1732250520.

Find LCM of 760,644,968,468 with Prime Factorization

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

2 x 2 x 2 x 95 x 161 x 121 x 117 = 1732250520

Therefore, the lowest common multiple of 760,644,968,468 is 1732250520.

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.

760 x 644 x 968 x 468 = 221728066560

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,644,968,468, is 4.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

644:2x 2x 7x 23

968:2x 2x 2x 11x 11

468:2x 2x 3x 3x 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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 221728066560/(4x32)

LCM = 221728066560/128

LCM = 1732250520

Thus, we can understand that the LCM of 760,644,968,468 is 1732250520.

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

• LCM of 716, 554, 836, 932
• LCM of 700, 634, 332, 980
• LCM of 633, 848, 725, 317
• LCM of 920, 129, 517, 164
• LCM of 307, 330, 489, 455

1. What is the LCM of 760, 644, 968, 468?

Answer: LCM of 760, 644, 968, 468 is 1732250520.

2. How to calculate the LCM of 760, 644, 968, 468?

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 760, 644, 968, 468.

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}.