Given numbers are 478,537,720,926,708

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

The LCM of 478,537,720,926,708 is 841426975440.

Find LCM of 478,537,720,926,708 with Prime Factorization

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

2 x 2 x 3 x 239 x 179 x 60 x 463 x 59 = 841426975440

Therefore, the lowest common multiple of 478,537,720,926,708 is 841426975440.

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.

478 x 537 x 720 x 926 x 708 = 121165484463360

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.

478 : 1, 2, 239, 478

537 : 1, 3, 179, 537

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

926 : 1, 2, 463, 926

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,537,720,926,708, is 1.

Now, the common factors can be found like this.

478:2x 239

537:3x 179

720:2x 2x 2x 2x 3x 3x 5

926:2x 463

708:2x 2x 3x 59

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 121165484463360/(1x144)

LCM = 121165484463360/144

LCM = 841426975440

Thus, we can understand that the LCM of 478,537,720,926,708 is 841426975440.

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

• LCM of 785, 851, 923, 515, 112
• LCM of 165, 576, 630, 716, 953
• LCM of 389, 235, 857, 341, 904
• LCM of 842, 991, 726, 902, 423
• LCM of 758, 485, 643, 225, 518

1. What is the LCM of 478, 537, 720, 926, 708?

Answer: LCM of 478, 537, 720, 926, 708 is 841426975440.

2. How to calculate the LCM of 478, 537, 720, 926, 708?

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 478, 537, 720, 926, 708.

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}.