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LCM of 767, 743, 991, 536, 674

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


Find the LCM of 767, 743, 991, 536, 674 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, 743, 991, 536, 674. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,743,991,536,674

Given numbers are 767,743,991,536,674

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

The LCM of 767,743,991,536,674 is 102012296088872.

Find LCM of 767,743,991,536,674 with Prime Factorization


2 767, 743, 991, 536, 674
767, 743, 991, 268, 337

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

2 x 767 x 743 x 991 x 268 x 337 = 102012296088872

Therefore, the lowest common multiple of 767,743,991,536,674 is 102012296088872.

LCM Formula to Find Lowest Common Multiple of 767,743,991,536,674

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 743 x 991 x 536 x 674 = 204024592177744

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

743 : 1, 743

991 : 1, 991

536 : 1, 2, 4, 8, 67, 134, 268, 536

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,743,991,536,674, is 1.

Now, the common factors can be found like this.

767:13x 59

743:743

991:991

536:2x 2x 2x 67

674:2x 337

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

2 = 2

Therefore, the value for common factors is 2.

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 = 204024592177744/(1x2)

LCM = 204024592177744/2

LCM = 102012296088872

Thus, we can understand that the LCM of 767,743,991,536,674 is 102012296088872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 743, 991, 536, 674

1. What is the LCM of 767, 743, 991, 536, 674?

Answer: LCM of 767, 743, 991, 536, 674 is 102012296088872.

2. How to calculate the LCM of 767, 743, 991, 536, 674?

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, 743, 991, 536, 674.

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}.