Given numbers are 564,248,234,421,700

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

The LCM of 564,248,234,421,700 is 100474428600.

Find LCM of 564,248,234,421,700 with Prime Factorization

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

2 x 2 x 3 x 47 x 62 x 39 x 421 x 175 = 100474428600

Therefore, the lowest common multiple of 564,248,234,421,700 is 100474428600.

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.

564 x 248 x 234 x 421 x 700 = 9645545145600

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

248 : 1, 2, 4, 8, 31, 62, 124, 248

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

421 : 1, 421

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,248,234,421,700, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

248:2x 2x 2x 31

234:2x 3x 3x 13

421:421

700:2x 2x 5x 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 2x 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 9645545145600/(1x96)

LCM = 9645545145600/96

LCM = 100474428600

Thus, we can understand that the LCM of 564,248,234,421,700 is 100474428600.

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

• LCM of 841, 625, 902, 549, 681
• LCM of 609, 854, 906, 920, 103
• LCM of 801, 215, 996, 131, 906
• LCM of 621, 429, 974, 924, 727
• LCM of 865, 161, 602, 251, 208

1. What is the LCM of 564, 248, 234, 421, 700?

Answer: LCM of 564, 248, 234, 421, 700 is 100474428600.

2. How to calculate the LCM of 564, 248, 234, 421, 700?

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 564, 248, 234, 421, 700.

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}.