Given numbers are 420,252,798,701,736

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

The LCM of 420,252,798,701,736 is 3087876960.

Find LCM of 420,252,798,701,736 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 3 x 19 x 701 x 184 = 3087876960

Therefore, the lowest common multiple of 420,252,798,701,736 is 3087876960.

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 252 x 798 x 701 x 736 = 43576119659520

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

701 : 1, 701

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,252,798,701,736, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

252:2x 2x 3x 3x 7

798:2x 3x 7x 19

701:701

736:2x 2x 2x 2x 2x 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 3x 3x 7x 7 = 14112

Therefore, the value for common factors is 14112.

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 = 43576119659520/(1x14112)

LCM = 43576119659520/14112

LCM = 3087876960

Thus, we can understand that the LCM of 420,252,798,701,736 is 3087876960.

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

• LCM of 951, 528, 721, 142, 368
• LCM of 561, 244, 536, 984, 960
• LCM of 578, 762, 560, 830, 258
• LCM of 224, 563, 415, 800, 443
• LCM of 423, 877, 366, 151, 591

1. What is the LCM of 420, 252, 798, 701, 736?

Answer: LCM of 420, 252, 798, 701, 736 is 3087876960.

2. How to calculate the LCM of 420, 252, 798, 701, 736?

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, 252, 798, 701, 736.

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}.