Given numbers are 716,471,177,735,624

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

The LCM of 716,471,177,735,624 is 253486811760.

Find LCM of 716,471,177,735,624 with Prime Factorization

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

2 x 2 x 3 x 179 x 157 x 59 x 245 x 52 = 253486811760

Therefore, the lowest common multiple of 716,471,177,735,624 is 253486811760.

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.

716 x 471 x 177 x 735 x 624 = 27376575670080

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.

716 : 1, 2, 4, 179, 358, 716

471 : 1, 3, 157, 471

177 : 1, 3, 59, 177

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,471,177,735,624, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

471:3x 157

177:3x 59

735:3x 5x 7x 7

624:2x 2x 2x 2x 3x 13

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 27376575670080/(1x108)

LCM = 27376575670080/108

LCM = 253486811760

Thus, we can understand that the LCM of 716,471,177,735,624 is 253486811760.

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

• LCM of 785, 996, 109, 179, 782
• LCM of 140, 864, 146, 369, 474
• LCM of 478, 553, 386, 477, 838
• LCM of 791, 695, 539, 621, 758
• LCM of 530, 719, 531, 340, 769

1. What is the LCM of 716, 471, 177, 735, 624?

Answer: LCM of 716, 471, 177, 735, 624 is 253486811760.

2. How to calculate the LCM of 716, 471, 177, 735, 624?

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 716, 471, 177, 735, 624.

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}.