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LCM of 767, 492, 709, 205, 331

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


Find the LCM of 767, 492, 709, 205, 331 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, 492, 709, 205, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,492,709,205,331

Given numbers are 767,492,709,205,331

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

The LCM of 767,492,709,205,331 is 442797030780.

Find LCM of 767,492,709,205,331 with Prime Factorization


41 767, 492, 709, 205, 331
767, 12, 709, 5, 331

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

41 x 767 x 12 x 709 x 5 x 331 = 442797030780

Therefore, the lowest common multiple of 767,492,709,205,331 is 442797030780.

LCM Formula to Find Lowest Common Multiple of 767,492,709,205,331

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 492 x 709 x 205 x 331 = 18154678261980

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

709 : 1, 709

205 : 1, 5, 41, 205

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,492,709,205,331, is 1.

Now, the common factors can be found like this.

767:13x 59

492:2x 2x 3x 41

709:709

205:5x 41

331:331

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

41 = 41

Therefore, the value for common factors is 41.

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 = 18154678261980/(1x41)

LCM = 18154678261980/41

LCM = 442797030780

Thus, we can understand that the LCM of 767,492,709,205,331 is 442797030780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 492, 709, 205, 331

1. What is the LCM of 767, 492, 709, 205, 331?

Answer: LCM of 767, 492, 709, 205, 331 is 442797030780.

2. How to calculate the LCM of 767, 492, 709, 205, 331?

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, 492, 709, 205, 331.

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}.