Given numbers are 960,199,129,242,657

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

The LCM of 960,199,129,242,657 is 217681865280.

Find LCM of 960,199,129,242,657 with Prime Factorization

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

2 x 3 x 160 x 199 x 43 x 121 x 219 = 217681865280

Therefore, the lowest common multiple of 960,199,129,242,657 is 217681865280.

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.

960 x 199 x 129 x 242 x 657 = 3918273575040

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

199 : 1, 199

129 : 1, 3, 43, 129

242 : 1, 2, 11, 22, 121, 242

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,199,129,242,657, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

199:199

129:3x 43

242:2x 11x 11

657:3x 3x 73

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3918273575040/(1x18)

LCM = 3918273575040/18

LCM = 217681865280

Thus, we can understand that the LCM of 960,199,129,242,657 is 217681865280.

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

• LCM of 783, 742, 968, 312, 112
• LCM of 257, 613, 748, 266, 172
• LCM of 357, 406, 941, 535, 473
• LCM of 110, 146, 692, 488, 339
• LCM of 913, 744, 930, 245, 816

1. What is the LCM of 960, 199, 129, 242, 657?

Answer: LCM of 960, 199, 129, 242, 657 is 217681865280.

2. How to calculate the LCM of 960, 199, 129, 242, 657?

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 960, 199, 129, 242, 657.

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}.