Given numbers are 980,476,548,596,782

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

The LCM of 980,476,548,596,782 is 7821853340.

Find LCM of 980,476,548,596,782 with Prime Factorization

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

2 x 2 x 7 x 17 x 35 x 1 x 137 x 149 x 23 = 7821853340

Therefore, the lowest common multiple of 980,476,548,596,782 is 7821853340.

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.

980 x 476 x 548 x 596 x 782 = 119142470074880

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.

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

548 : 1, 2, 4, 137, 274, 548

596 : 1, 2, 4, 149, 298, 596

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,476,548,596,782, is 2.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

476:2x 2x 7x 17

548:2x 2x 137

596:2x 2x 149

782:2x 17x 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 2x 2x 7x 17 = 7616

Therefore, the value for common factors is 7616.

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 = 119142470074880/(2x7616)

LCM = 119142470074880/15232

LCM = 7821853340

Thus, we can understand that the LCM of 980,476,548,596,782 is 7821853340.

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

• LCM of 719, 848, 190, 665, 665
• LCM of 256, 421, 702, 558, 460
• LCM of 747, 410, 718, 963, 479
• LCM of 846, 247, 515, 569, 220
• LCM of 213, 877, 871, 601, 601

1. What is the LCM of 980, 476, 548, 596, 782?

Answer: LCM of 980, 476, 548, 596, 782 is 7821853340.

2. How to calculate the LCM of 980, 476, 548, 596, 782?

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 980, 476, 548, 596, 782.

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}.