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LCM of 302, 727, 604, 114, 100

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


Find the LCM of 302, 727, 604, 114, 100 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, 727, 604, 114, 100. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,727,604,114,100

Given numbers are 302,727,604,114,100

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

The LCM of 302,727,604,114,100 is 625728900.

Find LCM of 302,727,604,114,100 with Prime Factorization


2 302, 727, 604, 114, 100
2 151, 727, 302, 57, 50
151 151, 727, 151, 57, 25
1, 727, 1, 57, 25

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

2 x 2 x 151 x 1 x 727 x 1 x 57 x 25 = 625728900

Therefore, the lowest common multiple of 302,727,604,114,100 is 625728900.

LCM Formula to Find Lowest Common Multiple of 302,727,604,114,100

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 727 x 604 x 114 x 100 = 1511761022400

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

727 : 1, 727

604 : 1, 2, 4, 151, 302, 604

114 : 1, 2, 3, 6, 19, 38, 57, 114

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,727,604,114,100, is 1.

Now, the common factors can be found like this.

302:2x 151

727:727

604:2x 2x 151

114:2x 3x 19

100:2x 2x 5x 5

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 2x 151 = 2416

Therefore, the value for common factors is 2416.

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 = 1511761022400/(1x2416)

LCM = 1511761022400/2416

LCM = 625728900

Thus, we can understand that the LCM of 302,727,604,114,100 is 625728900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 727, 604, 114, 100

1. What is the LCM of 302, 727, 604, 114, 100?

Answer: LCM of 302, 727, 604, 114, 100 is 625728900.

2. How to calculate the LCM of 302, 727, 604, 114, 100?

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, 727, 604, 114, 100.

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}.