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LCM of 834, 993, 767, 677

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


Find the LCM of 834, 993, 767, 677 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 834, 993, 767, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,993,767,677

Given numbers are 834,993,767,677

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

The LCM of 834,993,767,677 is 143343523986.

Find LCM of 834,993,767,677 with Prime Factorization


3 834, 993, 767, 677
278, 331, 767, 677

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

3 x 278 x 331 x 767 x 677 = 143343523986

Therefore, the lowest common multiple of 834,993,767,677 is 143343523986.

LCM Formula to Find Lowest Common Multiple of 834,993,767,677

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.

834 x 993 x 767 x 677 = 430030571958

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

993 : 1, 3, 331, 993

767 : 1, 13, 59, 767

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,993,767,677, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

993:3x 331

767:13x 59

677:677

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

3 = 3

Therefore, the value for common factors is 3.

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 = 430030571958/(1x3)

LCM = 430030571958/3

LCM = 143343523986

Thus, we can understand that the LCM of 834,993,767,677 is 143343523986.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 993, 767, 677

1. What is the LCM of 834, 993, 767, 677?

Answer: LCM of 834, 993, 767, 677 is 143343523986.

2. How to calculate the LCM of 834, 993, 767, 677?

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 834, 993, 767, 677.

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}.