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LCM of 929, 142, 639, 686, 151

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


Find the LCM of 929, 142, 639, 686, 151 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 929, 142, 639, 686, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 929,142,639,686,151

Given numbers are 929,142,639,686,151

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

The LCM of 929,142,639,686,151 is 61491860766.

Find LCM of 929,142,639,686,151 with Prime Factorization


2 929, 142, 639, 686, 151
71 929, 71, 639, 343, 151
929, 1, 9, 343, 151

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

2 x 71 x 929 x 1 x 9 x 343 x 151 = 61491860766

Therefore, the lowest common multiple of 929,142,639,686,151 is 61491860766.

LCM Formula to Find Lowest Common Multiple of 929,142,639,686,151

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.

929 x 142 x 639 x 686 x 151 = 8731844228772

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.

929 : 1, 929

142 : 1, 2, 71, 142

639 : 1, 3, 9, 71, 213, 639

686 : 1, 2, 7, 14, 49, 98, 343, 686

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,142,639,686,151, is 1.

Now, the common factors can be found like this.

929:929

142:2x 71

639:3x 3x 71

686:2x 7x 7x 7

151:151

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 8731844228772/(1x142)

LCM = 8731844228772/142

LCM = 61491860766

Thus, we can understand that the LCM of 929,142,639,686,151 is 61491860766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 929, 142, 639, 686, 151

1. What is the LCM of 929, 142, 639, 686, 151?

Answer: LCM of 929, 142, 639, 686, 151 is 61491860766.

2. How to calculate the LCM of 929, 142, 639, 686, 151?

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 929, 142, 639, 686, 151.

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}.