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LCM of 841, 377, 681, 986

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


Find the LCM of 841, 377, 681, 986 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 841, 377, 681, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,377,681,986

Given numbers are 841,377,681,986

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

The LCM of 841,377,681,986 is 253142682.

Find LCM of 841,377,681,986 with Prime Factorization


29 841, 377, 681, 986
29, 13, 681, 34

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

29 x 29 x 13 x 681 x 34 = 253142682

Therefore, the lowest common multiple of 841,377,681,986 is 253142682.

LCM Formula to Find Lowest Common Multiple of 841,377,681,986

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.

841 x 377 x 681 x 986 = 212892995562

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.

841 : 1, 29, 841

377 : 1, 13, 29, 377

681 : 1, 3, 227, 681

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,377,681,986, is 1.

Now, the common factors can be found like this.

841:29x 29

377:13x 29

681:3x 227

986:2x 17x 29

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 212892995562/(1x841)

LCM = 212892995562/841

LCM = 253142682

Thus, we can understand that the LCM of 841,377,681,986 is 253142682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 377, 681, 986

1. What is the LCM of 841, 377, 681, 986?

Answer: LCM of 841, 377, 681, 986 is 253142682.

2. How to calculate the LCM of 841, 377, 681, 986?

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 841, 377, 681, 986.

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}.