Given numbers are 258,190,178,128,979

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

The LCM of 258,190,178,128,979 is 1535698560.

Find LCM of 258,190,178,128,979 with Prime Factorization

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

2 x 89 x 129 x 95 x 1 x 64 x 11 = 1535698560

Therefore, the lowest common multiple of 258,190,178,128,979 is 1535698560.

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 190 x 178 x 128 x 979 = 1093417374720

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

178 : 1, 2, 89, 178

128 : 1, 2, 4, 8, 16, 32, 64, 128

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,190,178,128,979, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

190:2x 5x 19

178:2x 89

128:2x 2x 2x 2x 2x 2x 2

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.

2x 2x 2x 89 = 712

Therefore, the value for common factors is 712.

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 = 1093417374720/(1x712)

LCM = 1093417374720/712

LCM = 1535698560

Thus, we can understand that the LCM of 258,190,178,128,979 is 1535698560.

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

• LCM of 834, 379, 981, 580, 895
• LCM of 302, 343, 535, 487, 319
• LCM of 994, 212, 498, 969, 995
• LCM of 150, 507, 110, 683, 647
• LCM of 194, 616, 747, 895, 691

1. What is the LCM of 258, 190, 178, 128, 979?

Answer: LCM of 258, 190, 178, 128, 979 is 1535698560.

2. How to calculate the LCM of 258, 190, 178, 128, 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, 190, 178, 128, 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}.