Given numbers are 917,326,456,974

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

The LCM of 917,326,456,974 is 33193323912.

Find LCM of 917,326,456,974 with Prime Factorization

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

2 x 917 x 163 x 228 x 487 = 33193323912

Therefore, the lowest common multiple of 917,326,456,974 is 33193323912.

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.

917 x 326 x 456 x 974 = 132773295648

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.

917 : 1, 7, 131, 917

326 : 1, 2, 163, 326

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,326,456,974, is 1.

Now, the common factors can be found like this.

917:7x 131

326:2x 163

456:2x 2x 2x 3x 19

974:2x 487

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 132773295648/(1x4)

LCM = 132773295648/4

LCM = 33193323912

Thus, we can understand that the LCM of 917,326,456,974 is 33193323912.

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

• LCM of 791, 962, 427, 225
• LCM of 839, 215, 587, 511
• LCM of 253, 496, 721, 530
• LCM of 996, 529, 126, 859
• LCM of 733, 883, 617, 726

1. What is the LCM of 917, 326, 456, 974?

Answer: LCM of 917, 326, 456, 974 is 33193323912.

2. How to calculate the LCM of 917, 326, 456, 974?

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 917, 326, 456, 974.

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}.