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LCM of 264, 946, 990, 856

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


Find the LCM of 264, 946, 990, 856 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 264, 946, 990, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,946,990,856

Given numbers are 264,946,990,856

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

The LCM of 264,946,990,856 is 18219960.

Find LCM of 264,946,990,856 with Prime Factorization


2 264, 946, 990, 856
2 132, 473, 495, 428
2 66, 473, 495, 214
3 33, 473, 495, 107
11 11, 473, 165, 107
1, 43, 15, 107

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

2 x 2 x 2 x 3 x 11 x 1 x 43 x 15 x 107 = 18219960

Therefore, the lowest common multiple of 264,946,990,856 is 18219960.

LCM Formula to Find Lowest Common Multiple of 264,946,990,856

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.

264 x 946 x 990 x 856 = 211643055360

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,946,990,856, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

946:2x 11x 43

990:2x 3x 3x 5x 11

856:2x 2x 2x 107

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 2x 2x 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 211643055360/(2x5808)

LCM = 211643055360/11616

LCM = 18219960

Thus, we can understand that the LCM of 264,946,990,856 is 18219960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 946, 990, 856

1. What is the LCM of 264, 946, 990, 856?

Answer: LCM of 264, 946, 990, 856 is 18219960.

2. How to calculate the LCM of 264, 946, 990, 856?

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 264, 946, 990, 856.

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}.