Given numbers are 117,119,494,484,968

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

The LCM of 117,119,494,484,968 is 256071816.

Find LCM of 117,119,494,484,968 with Prime Factorization

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

2 x 2 x 11 x 11 x 13 x 9 x 119 x 19 x 1 x 2 = 256071816

Therefore, the lowest common multiple of 117,119,494,484,968 is 256071816.

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.

117 x 119 x 494 x 484 x 968 = 3222407732544

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.

117 : 1, 3, 9, 13, 39, 117

119 : 1, 7, 17, 119

494 : 1, 2, 13, 19, 26, 38, 247, 494

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,119,494,484,968, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

119:7x 17

494:2x 13x 19

484:2x 2x 11x 11

968:2x 2x 2x 11x 11

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 11x 11x 13 = 12584

Therefore, the value for common factors is 12584.

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 = 3222407732544/(1x12584)

LCM = 3222407732544/12584

LCM = 256071816

Thus, we can understand that the LCM of 117,119,494,484,968 is 256071816.

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

• LCM of 565, 878, 315, 868, 156
• LCM of 360, 149, 513, 578, 797
• LCM of 655, 310, 627, 991, 956
• LCM of 359, 567, 282, 936, 741
• LCM of 425, 615, 724, 494, 369

1. What is the LCM of 117, 119, 494, 484, 968?

Answer: LCM of 117, 119, 494, 484, 968 is 256071816.

2. How to calculate the LCM of 117, 119, 494, 484, 968?

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 117, 119, 494, 484, 968.

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}.