Given numbers are 688,127,304,299,970

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

The LCM of 688,127,304,299,970 is 240745782160.

Find LCM of 688,127,304,299,970 with Prime Factorization

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

2 x 2 x 2 x 2 x 43 x 127 x 19 x 299 x 485 = 240745782160

Therefore, the lowest common multiple of 688,127,304,299,970 is 240745782160.

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.

688 x 127 x 304 x 299 x 970 = 7703865029120

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

127 : 1, 127

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

299 : 1, 13, 23, 299

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,127,304,299,970, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

127:127

304:2x 2x 2x 2x 19

299:13x 23

970:2x 5x 97

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 2 = 32

Therefore, the value for common factors is 32.

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 = 7703865029120/(1x32)

LCM = 7703865029120/32

LCM = 240745782160

Thus, we can understand that the LCM of 688,127,304,299,970 is 240745782160.

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

• LCM of 680, 904, 473, 975, 755
• LCM of 230, 923, 156, 819, 466
• LCM of 678, 653, 387, 105, 795
• LCM of 709, 791, 300, 668, 151
• LCM of 587, 845, 870, 603, 779

1. What is the LCM of 688, 127, 304, 299, 970?

Answer: LCM of 688, 127, 304, 299, 970 is 240745782160.

2. How to calculate the LCM of 688, 127, 304, 299, 970?

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 688, 127, 304, 299, 970.

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}.