Given numbers are 961,199,217,688

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

The LCM of 961,199,217,688 is 921007024.

Find LCM of 961,199,217,688 with Prime Factorization

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

31 x 31 x 199 x 7 x 688 = 921007024

Therefore, the lowest common multiple of 961,199,217,688 is 921007024.

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.

961 x 199 x 217 x 688 = 28551217744

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.

961 : 1, 31, 961

199 : 1, 199

217 : 1, 7, 31, 217

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,199,217,688, is 1.

Now, the common factors can be found like this.

961:31x 31

199:199

217:7x 31

688:2x 2x 2x 2x 43

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

31 = 31

Therefore, the value for common factors is 31.

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 = 28551217744/(1x31)

LCM = 28551217744/31

LCM = 921007024

Thus, we can understand that the LCM of 961,199,217,688 is 921007024.

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

• LCM of 872, 345, 354, 710
• LCM of 818, 859, 358, 779
• LCM of 627, 960, 100, 725
• LCM of 902, 167, 631, 882
• LCM of 718, 972, 754, 570

1. What is the LCM of 961, 199, 217, 688?

Answer: LCM of 961, 199, 217, 688 is 921007024.

2. How to calculate the LCM of 961, 199, 217, 688?

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 961, 199, 217, 688.

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}.