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LCM of 766, 701, 921, 307

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


Find the LCM of 766, 701, 921, 307 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 766, 701, 921, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,701,921,307

Given numbers are 766,701,921,307

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

The LCM of 766,701,921,307 is 494545686.

Find LCM of 766,701,921,307 with Prime Factorization


307 766, 701, 921, 307
766, 701, 3, 1

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

307 x 766 x 701 x 3 x 1 = 494545686

Therefore, the lowest common multiple of 766,701,921,307 is 494545686.

LCM Formula to Find Lowest Common Multiple of 766,701,921,307

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.

766 x 701 x 921 x 307 = 151825525602

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.

766 : 1, 2, 383, 766

701 : 1, 701

921 : 1, 3, 307, 921

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,701,921,307, is 1.

Now, the common factors can be found like this.

766:2x 383

701:701

921:3x 307

307:307

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

307 = 307

Therefore, the value for common factors is 307.

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 = 151825525602/(1x307)

LCM = 151825525602/307

LCM = 494545686

Thus, we can understand that the LCM of 766,701,921,307 is 494545686.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 701, 921, 307

1. What is the LCM of 766, 701, 921, 307?

Answer: LCM of 766, 701, 921, 307 is 494545686.

2. How to calculate the LCM of 766, 701, 921, 307?

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 766, 701, 921, 307.

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}.