Given numbers are 823,471,709,624,980

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

The LCM of 823,471,709,624,980 is 14005428375120.

Find LCM of 823,471,709,624,980 with Prime Factorization

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

2 x 2 x 3 x 823 x 157 x 709 x 52 x 245 = 14005428375120

Therefore, the lowest common multiple of 823,471,709,624,980 is 14005428375120.

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.

823 x 471 x 709 x 624 x 980 = 168065140501440

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.

823 : 1, 823

471 : 1, 3, 157, 471

709 : 1, 709

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,471,709,624,980, is 1.

Now, the common factors can be found like this.

823:823

471:3x 157

709:709

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

980:2x 2x 5x 7x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 168065140501440/(1x12)

LCM = 168065140501440/12

LCM = 14005428375120

Thus, we can understand that the LCM of 823,471,709,624,980 is 14005428375120.

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

• LCM of 921, 479, 120, 155, 428
• LCM of 202, 764, 157, 393, 375
• LCM of 606, 628, 383, 205, 850
• LCM of 739, 113, 859, 465, 601
• LCM of 511, 376, 730, 798, 642

1. What is the LCM of 823, 471, 709, 624, 980?

Answer: LCM of 823, 471, 709, 624, 980 is 14005428375120.

2. How to calculate the LCM of 823, 471, 709, 624, 980?

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 823, 471, 709, 624, 980.

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}.