Given numbers are 420,373,644,437,508

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

The LCM of 420,373,644,437,508 is 8694473340.

Find LCM of 420,373,644,437,508 with Prime Factorization

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

2 x 2 x 7 x 23 x 15 x 373 x 1 x 19 x 127 = 8694473340

Therefore, the lowest common multiple of 420,373,644,437,508 is 8694473340.

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.

420 x 373 x 644 x 437 x 508 = 22396963323840

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

373 : 1, 373

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

437 : 1, 19, 23, 437

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,373,644,437,508, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

373:373

644:2x 2x 7x 23

437:19x 23

508:2x 2x 127

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 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 22396963323840/(1x2576)

LCM = 22396963323840/2576

LCM = 8694473340

Thus, we can understand that the LCM of 420,373,644,437,508 is 8694473340.

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

• LCM of 927, 367, 332, 148, 660
• LCM of 744, 129, 622, 765, 496
• LCM of 568, 544, 566, 211, 960
• LCM of 751, 449, 962, 561, 796
• LCM of 819, 889, 499, 631, 937

1. What is the LCM of 420, 373, 644, 437, 508?

Answer: LCM of 420, 373, 644, 437, 508 is 8694473340.

2. How to calculate the LCM of 420, 373, 644, 437, 508?

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 420, 373, 644, 437, 508.

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}.