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LCM of 877, 338, 314, 535

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


Find the LCM of 877, 338, 314, 535 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 877, 338, 314, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,338,314,535

Given numbers are 877,338,314,535

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

The LCM of 877,338,314,535 is 24898301870.

Find LCM of 877,338,314,535 with Prime Factorization


2 877, 338, 314, 535
877, 169, 157, 535

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

2 x 877 x 169 x 157 x 535 = 24898301870

Therefore, the lowest common multiple of 877,338,314,535 is 24898301870.

LCM Formula to Find Lowest Common Multiple of 877,338,314,535

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.

877 x 338 x 314 x 535 = 49796603740

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.

877 : 1, 877

338 : 1, 2, 13, 26, 169, 338

314 : 1, 2, 157, 314

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,338,314,535, is 1.

Now, the common factors can be found like this.

877:877

338:2x 13x 13

314:2x 157

535:5x 107

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 = 49796603740/(1x2)

LCM = 49796603740/2

LCM = 24898301870

Thus, we can understand that the LCM of 877,338,314,535 is 24898301870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 338, 314, 535

1. What is the LCM of 877, 338, 314, 535?

Answer: LCM of 877, 338, 314, 535 is 24898301870.

2. How to calculate the LCM of 877, 338, 314, 535?

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 877, 338, 314, 535.

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}.