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LCM of 713, 538, 358, 921, 887

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


Find the LCM of 713, 538, 358, 921, 887 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 713, 538, 358, 921, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,538,358,921,887

Given numbers are 713,538,358,921,887

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

The LCM of 713,538,358,921,887 is 56092924919202.

Find LCM of 713,538,358,921,887 with Prime Factorization


2 713, 538, 358, 921, 887
713, 269, 179, 921, 887

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

2 x 713 x 269 x 179 x 921 x 887 = 56092924919202

Therefore, the lowest common multiple of 713,538,358,921,887 is 56092924919202.

LCM Formula to Find Lowest Common Multiple of 713,538,358,921,887

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.

713 x 538 x 358 x 921 x 887 = 112185849838404

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.

713 : 1, 23, 31, 713

538 : 1, 2, 269, 538

358 : 1, 2, 179, 358

921 : 1, 3, 307, 921

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,538,358,921,887, is 1.

Now, the common factors can be found like this.

713:23x 31

538:2x 269

358:2x 179

921:3x 307

887:887

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 = 112185849838404/(1x2)

LCM = 112185849838404/2

LCM = 56092924919202

Thus, we can understand that the LCM of 713,538,358,921,887 is 56092924919202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 538, 358, 921, 887

1. What is the LCM of 713, 538, 358, 921, 887?

Answer: LCM of 713, 538, 358, 921, 887 is 56092924919202.

2. How to calculate the LCM of 713, 538, 358, 921, 887?

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 713, 538, 358, 921, 887.

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}.