Given numbers are 760,313,652,780,876

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

The LCM of 760,313,652,780,876 is 110390830680.

Find LCM of 760,313,652,780,876 with Prime Factorization

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

2 x 2 x 3 x 5 x 38 x 313 x 163 x 13 x 73 = 110390830680

Therefore, the lowest common multiple of 760,313,652,780,876 is 110390830680.

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 313 x 652 x 780 x 876 = 105975197452800

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

313 : 1, 313

652 : 1, 2, 4, 163, 326, 652

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,313,652,780,876, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

313:313

652:2x 2x 163

780:2x 2x 3x 5x 13

876:2x 2x 3x 73

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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 105975197452800/(1x960)

LCM = 105975197452800/960

LCM = 110390830680

Thus, we can understand that the LCM of 760,313,652,780,876 is 110390830680.

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

• LCM of 991, 594, 779, 765, 636
• LCM of 305, 287, 878, 721, 634
• LCM of 843, 852, 792, 737, 629
• LCM of 199, 772, 735, 807, 982
• LCM of 584, 229, 982, 341, 180

1. What is the LCM of 760, 313, 652, 780, 876?

Answer: LCM of 760, 313, 652, 780, 876 is 110390830680.

2. How to calculate the LCM of 760, 313, 652, 780, 876?

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, 313, 652, 780, 876.

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}.