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LCM of 301, 602, 268, 764

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


Find the LCM of 301, 602, 268, 764 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 301, 602, 268, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,602,268,764

Given numbers are 301,602,268,764

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

The LCM of 301,602,268,764 is 15407588.

Find LCM of 301,602,268,764 with Prime Factorization


2 301, 602, 268, 764
2 301, 301, 134, 382
7 301, 301, 67, 191
43 43, 43, 67, 191
1, 1, 67, 191

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

2 x 2 x 7 x 43 x 1 x 1 x 67 x 191 = 15407588

Therefore, the lowest common multiple of 301,602,268,764 is 15407588.

LCM Formula to Find Lowest Common Multiple of 301,602,268,764

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.

301 x 602 x 268 x 764 = 37101471904

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.

301 : 1, 7, 43, 301

602 : 1, 2, 7, 14, 43, 86, 301, 602

268 : 1, 2, 4, 67, 134, 268

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,602,268,764, is 1.

Now, the common factors can be found like this.

301:7x 43

602:2x 7x 43

268:2x 2x 67

764:2x 2x 191

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

2x 2x 2x 7x 43 = 2408

Therefore, the value for common factors is 2408.

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 = 37101471904/(1x2408)

LCM = 37101471904/2408

LCM = 15407588

Thus, we can understand that the LCM of 301,602,268,764 is 15407588.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 602, 268, 764

1. What is the LCM of 301, 602, 268, 764?

Answer: LCM of 301, 602, 268, 764 is 15407588.

2. How to calculate the LCM of 301, 602, 268, 764?

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 301, 602, 268, 764.

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}.