Given numbers are 688,646,770

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

The LCM of 688,646,770 is 85556240.

Find LCM of 688,646,770 with Prime Factorization

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

2 x 344 x 323 x 385 = 85556240

Therefore, the lowest common multiple of 688,646,770 is 85556240.

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 646 x 770 = 342224960

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,646,770, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

646:2x 17x 19

770:2x 5x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 342224960/(2x2)

LCM = 342224960/4

LCM = 85556240

Thus, we can understand that the LCM of 688,646,770 is 85556240.

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

• LCM of 764, 156, 323
• LCM of 514, 599, 338
• LCM of 914, 375, 802
• LCM of 756, 921, 836
• LCM of 986, 618, 382

1. What is the LCM of 688, 646, 770?

Answer: LCM of 688, 646, 770 is 85556240.

2. How to calculate the LCM of 688, 646, 770?

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, 646, 770.

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}.