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LCM of 410, 991, 654, 202

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


Find the LCM of 410, 991, 654, 202 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 410, 991, 654, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,991,654,202

Given numbers are 410,991,654,202

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

The LCM of 410,991,654,202 is 13419200370.

Find LCM of 410,991,654,202 with Prime Factorization


2 410, 991, 654, 202
205, 991, 327, 101

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

2 x 205 x 991 x 327 x 101 = 13419200370

Therefore, the lowest common multiple of 410,991,654,202 is 13419200370.

LCM Formula to Find Lowest Common Multiple of 410,991,654,202

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.

410 x 991 x 654 x 202 = 53676801480

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

991 : 1, 991

654 : 1, 2, 3, 6, 109, 218, 327, 654

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,991,654,202, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

991:991

654:2x 3x 109

202:2x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53676801480/(1x4)

LCM = 53676801480/4

LCM = 13419200370

Thus, we can understand that the LCM of 410,991,654,202 is 13419200370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 991, 654, 202

1. What is the LCM of 410, 991, 654, 202?

Answer: LCM of 410, 991, 654, 202 is 13419200370.

2. How to calculate the LCM of 410, 991, 654, 202?

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 410, 991, 654, 202.

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}.