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LCM of 513, 616, 931, 557

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


Find the LCM of 513, 616, 931, 557 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 513, 616, 931, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,616,931,557

Given numbers are 513,616,931,557

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

The LCM of 513,616,931,557 is 1232115192.

Find LCM of 513,616,931,557 with Prime Factorization


7 513, 616, 931, 557
19 513, 88, 133, 557
27, 88, 7, 557

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

7 x 19 x 27 x 88 x 7 x 557 = 1232115192

Therefore, the lowest common multiple of 513,616,931,557 is 1232115192.

LCM Formula to Find Lowest Common Multiple of 513,616,931,557

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.

513 x 616 x 931 x 557 = 163871320536

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

931 : 1, 7, 19, 49, 133, 931

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,616,931,557, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

616:2x 2x 2x 7x 11

931:7x 7x 19

557:557

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 163871320536/(1x133)

LCM = 163871320536/133

LCM = 1232115192

Thus, we can understand that the LCM of 513,616,931,557 is 1232115192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 616, 931, 557

1. What is the LCM of 513, 616, 931, 557?

Answer: LCM of 513, 616, 931, 557 is 1232115192.

2. How to calculate the LCM of 513, 616, 931, 557?

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 513, 616, 931, 557.

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}.