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LCM of 302, 750, 572, 147

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


Find the LCM of 302, 750, 572, 147 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 302, 750, 572, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,750,572,147

Given numbers are 302,750,572,147

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

The LCM of 302,750,572,147 is 1587085500.

Find LCM of 302,750,572,147 with Prime Factorization


2 302, 750, 572, 147
3 151, 375, 286, 147
151, 125, 286, 49

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

2 x 3 x 151 x 125 x 286 x 49 = 1587085500

Therefore, the lowest common multiple of 302,750,572,147 is 1587085500.

LCM Formula to Find Lowest Common Multiple of 302,750,572,147

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.

302 x 750 x 572 x 147 = 19045026000

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.

302 : 1, 2, 151, 302

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,750,572,147, is 1.

Now, the common factors can be found like this.

302:2x 151

750:2x 3x 5x 5x 5

572:2x 2x 11x 13

147:3x 7x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 19045026000/(1x12)

LCM = 19045026000/12

LCM = 1587085500

Thus, we can understand that the LCM of 302,750,572,147 is 1587085500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 750, 572, 147

1. What is the LCM of 302, 750, 572, 147?

Answer: LCM of 302, 750, 572, 147 is 1587085500.

2. How to calculate the LCM of 302, 750, 572, 147?

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 302, 750, 572, 147.

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}.