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LCM of 403, 151, 909, 612

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


Find the LCM of 403, 151, 909, 612 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 403, 151, 909, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,151,909,612

Given numbers are 403,151,909,612

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

The LCM of 403,151,909,612 is 3761445636.

Find LCM of 403,151,909,612 with Prime Factorization


3 403, 151, 909, 612
3 403, 151, 303, 204
403, 151, 101, 68

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

3 x 3 x 403 x 151 x 101 x 68 = 3761445636

Therefore, the lowest common multiple of 403,151,909,612 is 3761445636.

LCM Formula to Find Lowest Common Multiple of 403,151,909,612

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.

403 x 151 x 909 x 612 = 33853010724

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.

403 : 1, 13, 31, 403

151 : 1, 151

909 : 1, 3, 9, 101, 303, 909

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,151,909,612, is 1.

Now, the common factors can be found like this.

403:13x 31

151:151

909:3x 3x 101

612:2x 2x 3x 3x 17

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 33853010724/(1x9)

LCM = 33853010724/9

LCM = 3761445636

Thus, we can understand that the LCM of 403,151,909,612 is 3761445636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 151, 909, 612

1. What is the LCM of 403, 151, 909, 612?

Answer: LCM of 403, 151, 909, 612 is 3761445636.

2. How to calculate the LCM of 403, 151, 909, 612?

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 403, 151, 909, 612.

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}.