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LCM of 765, 732, 118, 640, 929

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


Find the LCM of 765, 732, 118, 640, 929 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 765, 732, 118, 640, 929. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,732,118,640,929

Given numbers are 765,732,118,640,929

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

The LCM of 765,732,118,640,929 is 327392680320.

Find LCM of 765,732,118,640,929 with Prime Factorization


2 765, 732, 118, 640, 929
2 765, 366, 59, 320, 929
3 765, 183, 59, 160, 929
5 255, 61, 59, 160, 929
51, 61, 59, 32, 929

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

2 x 2 x 3 x 5 x 51 x 61 x 59 x 32 x 929 = 327392680320

Therefore, the lowest common multiple of 765,732,118,640,929 is 327392680320.

LCM Formula to Find Lowest Common Multiple of 765,732,118,640,929

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.

765 x 732 x 118 x 640 x 929 = 39287121638400

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

118 : 1, 2, 59, 118

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

929 : 1, 929

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,732,118,640,929, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

732:2x 2x 3x 61

118:2x 59

640:2x 2x 2x 2x 2x 2x 2x 5

929:929

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 39287121638400/(1x120)

LCM = 39287121638400/120

LCM = 327392680320

Thus, we can understand that the LCM of 765,732,118,640,929 is 327392680320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 732, 118, 640, 929

1. What is the LCM of 765, 732, 118, 640, 929?

Answer: LCM of 765, 732, 118, 640, 929 is 327392680320.

2. How to calculate the LCM of 765, 732, 118, 640, 929?

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 765, 732, 118, 640, 929.

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}.