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LCM of 932, 157, 306, 835, 642

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


Find the LCM of 932, 157, 306, 835, 642 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 932, 157, 306, 835, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,157,306,835,642

Given numbers are 932,157,306,835,642

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

The LCM of 932,157,306,835,642 is 2000217620340.

Find LCM of 932,157,306,835,642 with Prime Factorization


2 932, 157, 306, 835, 642
3 466, 157, 153, 835, 321
466, 157, 51, 835, 107

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

2 x 3 x 466 x 157 x 51 x 835 x 107 = 2000217620340

Therefore, the lowest common multiple of 932,157,306,835,642 is 2000217620340.

LCM Formula to Find Lowest Common Multiple of 932,157,306,835,642

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.

932 x 157 x 306 x 835 x 642 = 24002611444080

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.

932 : 1, 2, 4, 233, 466, 932

157 : 1, 157

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

835 : 1, 5, 167, 835

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,157,306,835,642, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

157:157

306:2x 3x 3x 17

835:5x 167

642:2x 3x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 24002611444080/(1x12)

LCM = 24002611444080/12

LCM = 2000217620340

Thus, we can understand that the LCM of 932,157,306,835,642 is 2000217620340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 157, 306, 835, 642

1. What is the LCM of 932, 157, 306, 835, 642?

Answer: LCM of 932, 157, 306, 835, 642 is 2000217620340.

2. How to calculate the LCM of 932, 157, 306, 835, 642?

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 932, 157, 306, 835, 642.

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}.