Given numbers are 561,993,458,746

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

The LCM of 561,993,458,746 is 31722336294.

Find LCM of 561,993,458,746 with Prime Factorization

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

2 x 3 x 187 x 331 x 229 x 373 = 31722336294

Therefore, the lowest common multiple of 561,993,458,746 is 31722336294.

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.

561 x 993 x 458 x 746 = 190334017764

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

993 : 1, 3, 331, 993

458 : 1, 2, 229, 458

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,993,458,746, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

993:3x 331

458:2x 229

746:2x 373

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 190334017764/(1x6)

LCM = 190334017764/6

LCM = 31722336294

Thus, we can understand that the LCM of 561,993,458,746 is 31722336294.

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

• LCM of 323, 152, 250, 735
• LCM of 525, 723, 140, 473
• LCM of 105, 324, 418, 136
• LCM of 238, 429, 448, 174
• LCM of 145, 498, 471, 345

1. What is the LCM of 561, 993, 458, 746?

Answer: LCM of 561, 993, 458, 746 is 31722336294.

2. How to calculate the LCM of 561, 993, 458, 746?

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 561, 993, 458, 746.

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}.