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LCM of 645, 614, 398, 133, 151

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


Find the LCM of 645, 614, 398, 133, 151 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 645, 614, 398, 133, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,614,398,133,151

Given numbers are 645,614,398,133,151

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

The LCM of 645,614,398,133,151 is 1582740627510.

Find LCM of 645,614,398,133,151 with Prime Factorization


2 645, 614, 398, 133, 151
645, 307, 199, 133, 151

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

2 x 645 x 307 x 199 x 133 x 151 = 1582740627510

Therefore, the lowest common multiple of 645,614,398,133,151 is 1582740627510.

LCM Formula to Find Lowest Common Multiple of 645,614,398,133,151

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.

645 x 614 x 398 x 133 x 151 = 3165481255020

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

614 : 1, 2, 307, 614

398 : 1, 2, 199, 398

133 : 1, 7, 19, 133

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,614,398,133,151, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

614:2x 307

398:2x 199

133:7x 19

151:151

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3165481255020/(1x2)

LCM = 3165481255020/2

LCM = 1582740627510

Thus, we can understand that the LCM of 645,614,398,133,151 is 1582740627510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 614, 398, 133, 151

1. What is the LCM of 645, 614, 398, 133, 151?

Answer: LCM of 645, 614, 398, 133, 151 is 1582740627510.

2. How to calculate the LCM of 645, 614, 398, 133, 151?

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 645, 614, 398, 133, 151.

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}.