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LCM of 847, 902, 969, 410, 608

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


Find the LCM of 847, 902, 969, 410, 608 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 847, 902, 969, 410, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,902,969,410,608

Given numbers are 847,902,969,410,608

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

The LCM of 847,902,969,410,608 is 5384074080.

Find LCM of 847,902,969,410,608 with Prime Factorization


2 847, 902, 969, 410, 608
11 847, 451, 969, 205, 304
19 77, 41, 969, 205, 304
41 77, 41, 51, 205, 16
77, 1, 51, 5, 16

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

2 x 11 x 19 x 41 x 77 x 1 x 51 x 5 x 16 = 5384074080

Therefore, the lowest common multiple of 847,902,969,410,608 is 5384074080.

LCM Formula to Find Lowest Common Multiple of 847,902,969,410,608

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.

847 x 902 x 969 x 410 x 608 = 184544523166080

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.

847 : 1, 7, 11, 77, 121, 847

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

410 : 1, 2, 5, 10, 41, 82, 205, 410

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,902,969,410,608, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

902:2x 11x 41

969:3x 17x 19

410:2x 5x 41

608:2x 2x 2x 2x 2x 19

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 11x 19x 41 = 34276

Therefore, the value for common factors is 34276.

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 = 184544523166080/(1x34276)

LCM = 184544523166080/34276

LCM = 5384074080

Thus, we can understand that the LCM of 847,902,969,410,608 is 5384074080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 847, 902, 969, 410, 608

1. What is the LCM of 847, 902, 969, 410, 608?

Answer: LCM of 847, 902, 969, 410, 608 is 5384074080.

2. How to calculate the LCM of 847, 902, 969, 410, 608?

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 847, 902, 969, 410, 608.

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}.