Given numbers are 109,638,203,403,420

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

The LCM of 109,638,203,403,420 is 5885339460.

Find LCM of 109,638,203,403,420 with Prime Factorization

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

2 x 7 x 29 x 109 x 11 x 1 x 403 x 30 = 5885339460

Therefore, the lowest common multiple of 109,638,203,403,420 is 5885339460.

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.

109 x 638 x 203 x 403 x 420 = 2389447820760

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.

109 : 1, 109

638 : 1, 2, 11, 22, 29, 58, 319, 638

203 : 1, 7, 29, 203

403 : 1, 13, 31, 403

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,638,203,403,420, is 1.

Now, the common factors can be found like this.

109:109

638:2x 11x 29

203:7x 29

403:13x 31

420:2x 2x 3x 5x 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 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 2389447820760/(1x406)

LCM = 2389447820760/406

LCM = 5885339460

Thus, we can understand that the LCM of 109,638,203,403,420 is 5885339460.

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

• LCM of 413, 111, 211, 432, 543
• LCM of 863, 436, 653, 249, 817
• LCM of 818, 768, 909, 731, 358
• LCM of 962, 197, 645, 179, 577
• LCM of 254, 707, 590, 998, 759

1. What is the LCM of 109, 638, 203, 403, 420?

Answer: LCM of 109, 638, 203, 403, 420 is 5885339460.

2. How to calculate the LCM of 109, 638, 203, 403, 420?

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 109, 638, 203, 403, 420.

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}.