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LCM of 767, 765, 981, 306

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


Find the LCM of 767, 765, 981, 306 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 767, 765, 981, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,765,981,306

Given numbers are 767,765,981,306

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

The LCM of 767,765,981,306 is 127912590.

Find LCM of 767,765,981,306 with Prime Factorization


3 767, 765, 981, 306
3 767, 255, 327, 102
17 767, 85, 109, 34
767, 5, 109, 2

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

3 x 3 x 17 x 767 x 5 x 109 x 2 = 127912590

Therefore, the lowest common multiple of 767,765,981,306 is 127912590.

LCM Formula to Find Lowest Common Multiple of 767,765,981,306

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.

767 x 765 x 981 x 306 = 176135636430

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.

767 : 1, 13, 59, 767

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

981 : 1, 3, 9, 109, 327, 981

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,765,981,306, is 1.

Now, the common factors can be found like this.

767:13x 59

765:3x 3x 5x 17

981:3x 3x 109

306:2x 3x 3x 17

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

3x 3x 3x 3x 17 = 1377

Therefore, the value for common factors is 1377.

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 = 176135636430/(1x1377)

LCM = 176135636430/1377

LCM = 127912590

Thus, we can understand that the LCM of 767,765,981,306 is 127912590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 765, 981, 306

1. What is the LCM of 767, 765, 981, 306?

Answer: LCM of 767, 765, 981, 306 is 127912590.

2. How to calculate the LCM of 767, 765, 981, 306?

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 767, 765, 981, 306.

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}.