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LCM of 113, 476, 203, 714, 990

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


Find the LCM of 113, 476, 203, 714, 990 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 113, 476, 203, 714, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,476,203,714,990

Given numbers are 113,476,203,714,990

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

The LCM of 113,476,203,714,990 is 772126740.

Find LCM of 113,476,203,714,990 with Prime Factorization


2 113, 476, 203, 714, 990
3 113, 238, 203, 357, 495
7 113, 238, 203, 119, 165
17 113, 34, 29, 17, 165
113, 2, 29, 1, 165

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

2 x 3 x 7 x 17 x 113 x 2 x 29 x 1 x 165 = 772126740

Therefore, the lowest common multiple of 113,476,203,714,990 is 772126740.

LCM Formula to Find Lowest Common Multiple of 113,476,203,714,990

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.

113 x 476 x 203 x 714 x 990 = 7718178893040

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.

113 : 1, 113

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

203 : 1, 7, 29, 203

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,476,203,714,990, is 1.

Now, the common factors can be found like this.

113:113

476:2x 2x 7x 17

203:7x 29

714:2x 3x 7x 17

990:2x 3x 3x 5x 11

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 3x 7x 7x 17 = 9996

Therefore, the value for common factors is 9996.

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 = 7718178893040/(1x9996)

LCM = 7718178893040/9996

LCM = 772126740

Thus, we can understand that the LCM of 113,476,203,714,990 is 772126740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 476, 203, 714, 990

1. What is the LCM of 113, 476, 203, 714, 990?

Answer: LCM of 113, 476, 203, 714, 990 is 772126740.

2. How to calculate the LCM of 113, 476, 203, 714, 990?

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 113, 476, 203, 714, 990.

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}.