Given numbers are 749,700,420,460

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

The LCM of 749,700,420,460 is 5168100.

Find LCM of 749,700,420,460 with Prime Factorization

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

2 x 2 x 5 x 7 x 107 x 5 x 3 x 23 = 5168100

Therefore, the lowest common multiple of 749,700,420,460 is 5168100.

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.

749 x 700 x 420 x 460 = 101294760000

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.

749 : 1, 7, 107, 749

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,700,420,460, is 1.

Now, the common factors can be found like this.

749:7x 107

700:2x 2x 5x 5x 7

420:2x 2x 3x 5x 7

460:2x 2x 5x 23

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 5x 7x 7 = 19600

Therefore, the value for common factors is 19600.

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 = 101294760000/(1x19600)

LCM = 101294760000/19600

LCM = 5168100

Thus, we can understand that the LCM of 749,700,420,460 is 5168100.

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

• LCM of 555, 133, 235, 861
• LCM of 917, 516, 343, 186
• LCM of 560, 839, 852, 174
• LCM of 921, 594, 887, 721
• LCM of 824, 120, 535, 680

1. What is the LCM of 749, 700, 420, 460?

Answer: LCM of 749, 700, 420, 460 is 5168100.

2. How to calculate the LCM of 749, 700, 420, 460?

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 749, 700, 420, 460.

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}.