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LCM of 511, 452, 748, 340

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


Find the LCM of 511, 452, 748, 340 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 511, 452, 748, 340. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,452,748,340

Given numbers are 511,452,748,340

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

The LCM of 511,452,748,340 is 215958820.

Find LCM of 511,452,748,340 with Prime Factorization


2 511, 452, 748, 340
2 511, 226, 374, 170
17 511, 113, 187, 85
511, 113, 11, 5

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

2 x 2 x 17 x 511 x 113 x 11 x 5 = 215958820

Therefore, the lowest common multiple of 511,452,748,340 is 215958820.

LCM Formula to Find Lowest Common Multiple of 511,452,748,340

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.

511 x 452 x 748 x 340 = 58740799040

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.

511 : 1, 7, 73, 511

452 : 1, 2, 4, 113, 226, 452

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,452,748,340, is 1.

Now, the common factors can be found like this.

511:7x 73

452:2x 2x 113

748:2x 2x 11x 17

340:2x 2x 5x 17

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 17 = 272

Therefore, the value for common factors is 272.

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 = 58740799040/(1x272)

LCM = 58740799040/272

LCM = 215958820

Thus, we can understand that the LCM of 511,452,748,340 is 215958820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 452, 748, 340

1. What is the LCM of 511, 452, 748, 340?

Answer: LCM of 511, 452, 748, 340 is 215958820.

2. How to calculate the LCM of 511, 452, 748, 340?

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 511, 452, 748, 340.

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}.