Given numbers are 370,504,431,532,980

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

The LCM of 370,504,431,532,980 is 5344796520.

Find LCM of 370,504,431,532,980 with Prime Factorization

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

2 x 2 x 5 x 7 x 37 x 18 x 431 x 19 x 7 = 5344796520

Therefore, the lowest common multiple of 370,504,431,532,980 is 5344796520.

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.

370 x 504 x 431 x 532 x 980 = 41903204716800

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

431 : 1, 431

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 370,504,431,532,980, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

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

431:431

532:2x 2x 7x 19

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 2x 2x 2x 5x 7x 7 = 7840

Therefore, the value for common factors is 7840.

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 = 41903204716800/(1x7840)

LCM = 41903204716800/7840

LCM = 5344796520

Thus, we can understand that the LCM of 370,504,431,532,980 is 5344796520.

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

• LCM of 717, 320, 703, 696, 306
• LCM of 497, 822, 576, 750, 716
• LCM of 923, 334, 495, 358, 457
• LCM of 709, 931, 843, 138, 809
• LCM of 759, 902, 838, 366, 216

1. What is the LCM of 370, 504, 431, 532, 980?

Answer: LCM of 370, 504, 431, 532, 980 is 5344796520.

2. How to calculate the LCM of 370, 504, 431, 532, 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 370, 504, 431, 532, 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}.