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LCM of 902, 951, 990, 714

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


Find the LCM of 902, 951, 990, 714 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 902, 951, 990, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,951,990,714

Given numbers are 902,951,990,714

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

The LCM of 902,951,990,714 is 1531176570.

Find LCM of 902,951,990,714 with Prime Factorization


2 902, 951, 990, 714
3 451, 951, 495, 357
11 451, 317, 165, 119
41, 317, 15, 119

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

2 x 3 x 11 x 41 x 317 x 15 x 119 = 1531176570

Therefore, the lowest common multiple of 902,951,990,714 is 1531176570.

LCM Formula to Find Lowest Common Multiple of 902,951,990,714

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.

902 x 951 x 990 x 714 = 606345921720

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

951 : 1, 3, 317, 951

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,951,990,714, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

951:3x 317

990:2x 3x 3x 5x 11

714:2x 3x 7x 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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 606345921720/(1x396)

LCM = 606345921720/396

LCM = 1531176570

Thus, we can understand that the LCM of 902,951,990,714 is 1531176570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 951, 990, 714

1. What is the LCM of 902, 951, 990, 714?

Answer: LCM of 902, 951, 990, 714 is 1531176570.

2. How to calculate the LCM of 902, 951, 990, 714?

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 902, 951, 990, 714.

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}.