Given numbers are 504,980,798,753,657

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

The LCM of 504,980,798,753,657 is 6141136680.

Find LCM of 504,980,798,753,657 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 2 x 35 x 19 x 251 x 73 = 6141136680

Therefore, the lowest common multiple of 504,980,798,753,657 is 6141136680.

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.

504 x 980 x 798 x 753 x 657 = 194993371863360

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

753 : 1, 3, 251, 753

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,980,798,753,657, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

980:2x 2x 5x 7x 7

798:2x 3x 7x 19

753:3x 251

657:3x 3x 73

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 3x 3x 3x 3x 7x 7 = 31752

Therefore, the value for common factors is 31752.

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 = 194993371863360/(1x31752)

LCM = 194993371863360/31752

LCM = 6141136680

Thus, we can understand that the LCM of 504,980,798,753,657 is 6141136680.

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

• LCM of 513, 822, 525, 893, 694
• LCM of 613, 521, 804, 348, 691
• LCM of 708, 628, 625, 478, 923
• LCM of 278, 718, 524, 105, 491
• LCM of 282, 882, 873, 467, 759

1. What is the LCM of 504, 980, 798, 753, 657?

Answer: LCM of 504, 980, 798, 753, 657 is 6141136680.

2. How to calculate the LCM of 504, 980, 798, 753, 657?

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 504, 980, 798, 753, 657.

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}.