Given numbers are 760,869,491,540

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

The LCM of 760,869,491,540 is 8755453080.

Find LCM of 760,869,491,540 with Prime Factorization

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

2 x 2 x 5 x 38 x 869 x 491 x 27 = 8755453080

Therefore, the lowest common multiple of 760,869,491,540 is 8755453080.

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 869 x 491 x 540 = 175109061600

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

869 : 1, 11, 79, 869

491 : 1, 491

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,869,491,540, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

869:11x 79

491:491

540:2x 2x 3x 3x 3x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 175109061600/(1x20)

LCM = 175109061600/20

LCM = 8755453080

Thus, we can understand that the LCM of 760,869,491,540 is 8755453080.

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

• LCM of 736, 714, 815, 223
• LCM of 403, 571, 769, 191
• LCM of 682, 500, 247, 759
• LCM of 611, 453, 768, 789
• LCM of 291, 250, 666, 822

1. What is the LCM of 760, 869, 491, 540?

Answer: LCM of 760, 869, 491, 540 is 8755453080.

2. How to calculate the LCM of 760, 869, 491, 540?

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, 869, 491, 540.

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}.