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LCM of 763, 774, 307, 875, 767

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


Find the LCM of 763, 774, 307, 875, 767 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 763, 774, 307, 875, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 763,774,307,875,767

Given numbers are 763,774,307,875,767

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

The LCM of 763,774,307,875,767 is 17382380447250.

Find LCM of 763,774,307,875,767 with Prime Factorization


7 763, 774, 307, 875, 767
109, 774, 307, 125, 767

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

7 x 109 x 774 x 307 x 125 x 767 = 17382380447250

Therefore, the lowest common multiple of 763,774,307,875,767 is 17382380447250.

LCM Formula to Find Lowest Common Multiple of 763,774,307,875,767

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.

763 x 774 x 307 x 875 x 767 = 121676663130750

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.

763 : 1, 7, 109, 763

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

307 : 1, 307

875 : 1, 5, 7, 25, 35, 125, 175, 875

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,774,307,875,767, is 1.

Now, the common factors can be found like this.

763:7x 109

774:2x 3x 3x 43

307:307

875:5x 5x 5x 7

767:13x 59

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

7 = 7

Therefore, the value for common factors is 7.

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 = 121676663130750/(1x7)

LCM = 121676663130750/7

LCM = 17382380447250

Thus, we can understand that the LCM of 763,774,307,875,767 is 17382380447250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 763, 774, 307, 875, 767

1. What is the LCM of 763, 774, 307, 875, 767?

Answer: LCM of 763, 774, 307, 875, 767 is 17382380447250.

2. How to calculate the LCM of 763, 774, 307, 875, 767?

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 763, 774, 307, 875, 767.

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}.