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LCM of 842, 930, 877, 178, 765

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


Find the LCM of 842, 930, 877, 178, 765 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 842, 930, 877, 178, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,930,877,178,765

Given numbers are 842,930,877,178,765

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

The LCM of 842,930,877,178,765 is 1558564645590.

Find LCM of 842,930,877,178,765 with Prime Factorization


2 842, 930, 877, 178, 765
3 421, 465, 877, 89, 765
5 421, 155, 877, 89, 255
421, 31, 877, 89, 51

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

2 x 3 x 5 x 421 x 31 x 877 x 89 x 51 = 1558564645590

Therefore, the lowest common multiple of 842,930,877,178,765 is 1558564645590.

LCM Formula to Find Lowest Common Multiple of 842,930,877,178,765

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.

842 x 930 x 877 x 178 x 765 = 93513878735400

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.

842 : 1, 2, 421, 842

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

877 : 1, 877

178 : 1, 2, 89, 178

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,930,877,178,765, is 1.

Now, the common factors can be found like this.

842:2x 421

930:2x 3x 5x 31

877:877

178:2x 89

765:3x 3x 5x 17

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 93513878735400/(1x60)

LCM = 93513878735400/60

LCM = 1558564645590

Thus, we can understand that the LCM of 842,930,877,178,765 is 1558564645590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 930, 877, 178, 765

1. What is the LCM of 842, 930, 877, 178, 765?

Answer: LCM of 842, 930, 877, 178, 765 is 1558564645590.

2. How to calculate the LCM of 842, 930, 877, 178, 765?

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 842, 930, 877, 178, 765.

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}.