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LCM of 677, 771, 677, 958, 701

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


Find the LCM of 677, 771, 677, 958, 701 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 677, 771, 677, 958, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,771,677,958,701

Given numbers are 677,771,677,958,701

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

The LCM of 677,771,677,958,701 is 350531114586.

Find LCM of 677,771,677,958,701 with Prime Factorization


677 677, 771, 677, 958, 701
1, 771, 1, 958, 701

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

677 x 1 x 771 x 1 x 958 x 701 = 350531114586

Therefore, the lowest common multiple of 677,771,677,958,701 is 350531114586.

LCM Formula to Find Lowest Common Multiple of 677,771,677,958,701

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.

677 x 771 x 677 x 958 x 701 = 237309564574722

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.

677 : 1, 677

771 : 1, 3, 257, 771

677 : 1, 677

958 : 1, 2, 479, 958

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,771,677,958,701, is 1.

Now, the common factors can be found like this.

677:677

771:3x 257

677:677

958:2x 479

701:701

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

677 = 677

Therefore, the value for common factors is 677.

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 = 237309564574722/(1x677)

LCM = 237309564574722/677

LCM = 350531114586

Thus, we can understand that the LCM of 677,771,677,958,701 is 350531114586.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 771, 677, 958, 701

1. What is the LCM of 677, 771, 677, 958, 701?

Answer: LCM of 677, 771, 677, 958, 701 is 350531114586.

2. How to calculate the LCM of 677, 771, 677, 958, 701?

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 677, 771, 677, 958, 701.

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}.