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LCM of 826, 838, 946, 990

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


Find the LCM of 826, 838, 946, 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 826, 838, 946, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,838,946,990

Given numbers are 826,838,946,990

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

The LCM of 826,838,946,990 is 7366610790.

Find LCM of 826,838,946,990 with Prime Factorization


2 826, 838, 946, 990
11 413, 419, 473, 495
413, 419, 43, 45

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

2 x 11 x 413 x 419 x 43 x 45 = 7366610790

Therefore, the lowest common multiple of 826,838,946,990 is 7366610790.

LCM Formula to Find Lowest Common Multiple of 826,838,946,990

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.

826 x 838 x 946 x 990 = 648261749520

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

838 : 1, 2, 419, 838

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,838,946,990, is 2.

Now, the common factors can be found like this.

826:2x 7x 59

838:2x 419

946:2x 11x 43

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 11 = 44

Therefore, the value for common factors is 44.

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 = 648261749520/(2x44)

LCM = 648261749520/88

LCM = 7366610790

Thus, we can understand that the LCM of 826,838,946,990 is 7366610790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 838, 946, 990

1. What is the LCM of 826, 838, 946, 990?

Answer: LCM of 826, 838, 946, 990 is 7366610790.

2. How to calculate the LCM of 826, 838, 946, 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 826, 838, 946, 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}.