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LCM of 770, 541, 972, 198, 682

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


Find the LCM of 770, 541, 972, 198, 682 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 770, 541, 972, 198, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,541,972,198,682

Given numbers are 770,541,972,198,682

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

The LCM of 770,541,972,198,682 is 6276043620.

Find LCM of 770,541,972,198,682 with Prime Factorization


2 770, 541, 972, 198, 682
3 385, 541, 486, 99, 341
3 385, 541, 162, 33, 341
11 385, 541, 54, 11, 341
35, 541, 54, 1, 31

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

2 x 3 x 3 x 11 x 35 x 541 x 54 x 1 x 31 = 6276043620

Therefore, the lowest common multiple of 770,541,972,198,682 is 6276043620.

LCM Formula to Find Lowest Common Multiple of 770,541,972,198,682

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.

770 x 541 x 972 x 198 x 682 = 54676892017440

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

541 : 1, 541

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,541,972,198,682, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

541:541

972:2x 2x 3x 3x 3x 3x 3

198:2x 3x 3x 11

682:2x 11x 31

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 2x 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 54676892017440/(1x8712)

LCM = 54676892017440/8712

LCM = 6276043620

Thus, we can understand that the LCM of 770,541,972,198,682 is 6276043620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 541, 972, 198, 682

1. What is the LCM of 770, 541, 972, 198, 682?

Answer: LCM of 770, 541, 972, 198, 682 is 6276043620.

2. How to calculate the LCM of 770, 541, 972, 198, 682?

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 770, 541, 972, 198, 682.

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}.