Given numbers are 120,362,291,971,117

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

The LCM of 120,362,291,971,117 is 79783923960.

Find LCM of 120,362,291,971,117 with Prime Factorization

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

2 x 3 x 20 x 181 x 97 x 971 x 39 = 79783923960

Therefore, the lowest common multiple of 120,362,291,971,117 is 79783923960.

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.

120 x 362 x 291 x 971 x 117 = 1436110631280

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

362 : 1, 2, 181, 362

291 : 1, 3, 97, 291

971 : 1, 971

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,362,291,971,117, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

362:2x 181

291:3x 97

971:971

117:3x 3x 13

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 = 1436110631280/(1x18)

LCM = 1436110631280/18

LCM = 79783923960

Thus, we can understand that the LCM of 120,362,291,971,117 is 79783923960.

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

• LCM of 279, 355, 324, 744, 171
• LCM of 808, 686, 388, 743, 244
• LCM of 999, 144, 840, 303, 435
• LCM of 686, 409, 237, 960, 723
• LCM of 994, 253, 301, 330, 870

1. What is the LCM of 120, 362, 291, 971, 117?

Answer: LCM of 120, 362, 291, 971, 117 is 79783923960.

2. How to calculate the LCM of 120, 362, 291, 971, 117?

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 120, 362, 291, 971, 117.

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}.