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LCM of 293, 511, 856, 107

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 293, 511, 856, 107 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 293, 511, 856, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,511,856,107

Given numbers are 293,511,856,107

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

The LCM of 293,511,856,107 is 128162888.

Find LCM of 293,511,856,107 with Prime Factorization


107 293, 511, 856, 107
293, 511, 8, 1

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

107 x 293 x 511 x 8 x 1 = 128162888

Therefore, the lowest common multiple of 293,511,856,107 is 128162888.

LCM Formula to Find Lowest Common Multiple of 293,511,856,107

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.

293 x 511 x 856 x 107 = 13713429016

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.

293 : 1, 293

511 : 1, 7, 73, 511

856 : 1, 2, 4, 8, 107, 214, 428, 856

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,511,856,107, is 1.

Now, the common factors can be found like this.

293:293

511:7x 73

856:2x 2x 2x 107

107:107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 13713429016/(1x107)

LCM = 13713429016/107

LCM = 128162888

Thus, we can understand that the LCM of 293,511,856,107 is 128162888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 511, 856, 107

1. What is the LCM of 293, 511, 856, 107?

Answer: LCM of 293, 511, 856, 107 is 128162888.

2. How to calculate the LCM of 293, 511, 856, 107?

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 293, 511, 856, 107.

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}.