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LCM of 565, 913, 498, 113

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


Find the LCM of 565, 913, 498, 113 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 565, 913, 498, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,913,498,113

Given numbers are 565,913,498,113

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

The LCM of 565,913,498,113 is 3095070.

Find LCM of 565,913,498,113 with Prime Factorization


83 565, 913, 498, 113
113 565, 11, 6, 113
5, 11, 6, 1

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

83 x 113 x 5 x 11 x 6 x 1 = 3095070

Therefore, the lowest common multiple of 565,913,498,113 is 3095070.

LCM Formula to Find Lowest Common Multiple of 565,913,498,113

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.

565 x 913 x 498 x 113 = 29028661530

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.

565 : 1, 5, 113, 565

913 : 1, 11, 83, 913

498 : 1, 2, 3, 6, 83, 166, 249, 498

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,913,498,113, is 1.

Now, the common factors can be found like this.

565:5x 113

913:11x 83

498:2x 3x 83

113:113

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

83x 113 = 9379

Therefore, the value for common factors is 9379.

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 = 29028661530/(1x9379)

LCM = 29028661530/9379

LCM = 3095070

Thus, we can understand that the LCM of 565,913,498,113 is 3095070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 913, 498, 113

1. What is the LCM of 565, 913, 498, 113?

Answer: LCM of 565, 913, 498, 113 is 3095070.

2. How to calculate the LCM of 565, 913, 498, 113?

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 565, 913, 498, 113.

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}.