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LCM of 131, 386, 386, 423, 107

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


Find the LCM of 131, 386, 386, 423, 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 131, 386, 386, 423, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 131,386,386,423,107

Given numbers are 131,386,386,423,107

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

The LCM of 131,386,386,423,107 is 2288667726.

Find LCM of 131,386,386,423,107 with Prime Factorization


2 131, 386, 386, 423, 107
193 131, 193, 193, 423, 107
131, 1, 1, 423, 107

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

2 x 193 x 131 x 1 x 1 x 423 x 107 = 2288667726

Therefore, the lowest common multiple of 131,386,386,423,107 is 2288667726.

LCM Formula to Find Lowest Common Multiple of 131,386,386,423,107

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.

131 x 386 x 386 x 423 x 107 = 883425742236

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.

131 : 1, 131

386 : 1, 2, 193, 386

386 : 1, 2, 193, 386

423 : 1, 3, 9, 47, 141, 423

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,386,386,423,107, is 1.

Now, the common factors can be found like this.

131:131

386:2x 193

386:2x 193

423:3x 3x 47

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.

2x 193 = 386

Therefore, the value for common factors is 386.

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 = 883425742236/(1x386)

LCM = 883425742236/386

LCM = 2288667726

Thus, we can understand that the LCM of 131,386,386,423,107 is 2288667726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 131, 386, 386, 423, 107

1. What is the LCM of 131, 386, 386, 423, 107?

Answer: LCM of 131, 386, 386, 423, 107 is 2288667726.

2. How to calculate the LCM of 131, 386, 386, 423, 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 131, 386, 386, 423, 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}.