Given numbers are 704,420,980,749,451

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

The LCM of 704,420,980,749,451 is 2270009280.

Find LCM of 704,420,980,749,451 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 16 x 3 x 7 x 107 x 41 = 2270009280

Therefore, the lowest common multiple of 704,420,980,749,451 is 2270009280.

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.

704 x 420 x 980 x 749 x 451 = 97882800153600

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

749 : 1, 7, 107, 749

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,420,980,749,451, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

420:2x 2x 3x 5x 7

980:2x 2x 5x 7x 7

749:7x 107

451:11x 41

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 5x 7x 7x 11 = 43120

Therefore, the value for common factors is 43120.

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 = 97882800153600/(1x43120)

LCM = 97882800153600/43120

LCM = 2270009280

Thus, we can understand that the LCM of 704,420,980,749,451 is 2270009280.

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

• LCM of 451, 721, 974, 602, 404
• LCM of 766, 245, 369, 319, 909
• LCM of 898, 979, 477, 819, 645
• LCM of 756, 725, 241, 674, 511
• LCM of 610, 432, 322, 200, 680

1. What is the LCM of 704, 420, 980, 749, 451?

Answer: LCM of 704, 420, 980, 749, 451 is 2270009280.

2. How to calculate the LCM of 704, 420, 980, 749, 451?

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 704, 420, 980, 749, 451.

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}.