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LCM of 766, 487, 974, 362

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


Find the LCM of 766, 487, 974, 362 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, 487, 974, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,487,974,362

Given numbers are 766,487,974,362

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

The LCM of 766,487,974,362 is 67520602.

Find LCM of 766,487,974,362 with Prime Factorization


2 766, 487, 974, 362
487 383, 487, 487, 181
383, 1, 1, 181

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

2 x 487 x 383 x 1 x 1 x 181 = 67520602

Therefore, the lowest common multiple of 766,487,974,362 is 67520602.

LCM Formula to Find Lowest Common Multiple of 766,487,974,362

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 487 x 974 x 362 = 131530132696

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

487 : 1, 487

974 : 1, 2, 487, 974

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,487,974,362, is 1.

Now, the common factors can be found like this.

766:2x 383

487:487

974:2x 487

362:2x 181

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 487 = 1948

Therefore, the value for common factors is 1948.

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 = 131530132696/(1x1948)

LCM = 131530132696/1948

LCM = 67520602

Thus, we can understand that the LCM of 766,487,974,362 is 67520602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 487, 974, 362

1. What is the LCM of 766, 487, 974, 362?

Answer: LCM of 766, 487, 974, 362 is 67520602.

2. How to calculate the LCM of 766, 487, 974, 362?

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, 487, 974, 362.

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}.