Given numbers are 258,596,109,119,979

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

The LCM of 258,596,109,119,979 is 976319854356.

Find LCM of 258,596,109,119,979 with Prime Factorization

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

2 x 129 x 298 x 109 x 119 x 979 = 976319854356

Therefore, the lowest common multiple of 258,596,109,119,979 is 976319854356.

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.

258 x 596 x 109 x 119 x 979 = 1952639708712

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

596 : 1, 2, 4, 149, 298, 596

109 : 1, 109

119 : 1, 7, 17, 119

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,596,109,119,979, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

596:2x 2x 149

109:109

119:7x 17

979:11x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1952639708712/(1x2)

LCM = 1952639708712/2

LCM = 976319854356

Thus, we can understand that the LCM of 258,596,109,119,979 is 976319854356.

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

• LCM of 745, 945, 741, 554, 792
• LCM of 610, 729, 399, 127, 496
• LCM of 721, 758, 102, 989, 889
• LCM of 613, 241, 756, 684, 862
• LCM of 184, 429, 900, 585, 251

1. What is the LCM of 258, 596, 109, 119, 979?

Answer: LCM of 258, 596, 109, 119, 979 is 976319854356.

2. How to calculate the LCM of 258, 596, 109, 119, 979?

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 258, 596, 109, 119, 979.

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}.