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LCM of 441, 728, 947, 922, 922

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


Find the LCM of 441, 728, 947, 922, 922 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 441, 728, 947, 922, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,728,947,922,922

Given numbers are 441,728,947,922,922

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

The LCM of 441,728,947,922,922 is 20022708888.

Find LCM of 441,728,947,922,922 with Prime Factorization


2 441, 728, 947, 922, 922
7 441, 364, 947, 461, 461
461 63, 52, 947, 461, 461
63, 52, 947, 1, 1

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

2 x 7 x 461 x 63 x 52 x 947 x 1 x 1 = 20022708888

Therefore, the lowest common multiple of 441,728,947,922,922 is 20022708888.

LCM Formula to Find Lowest Common Multiple of 441,728,947,922,922

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.

441 x 728 x 947 x 922 x 922 = 258453126326304

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

947 : 1, 947

922 : 1, 2, 461, 922

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,728,947,922,922, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

728:2x 2x 2x 7x 13

947:947

922:2x 461

922:2x 461

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 7x 461 = 12908

Therefore, the value for common factors is 12908.

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 = 258453126326304/(1x12908)

LCM = 258453126326304/12908

LCM = 20022708888

Thus, we can understand that the LCM of 441,728,947,922,922 is 20022708888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 728, 947, 922, 922

1. What is the LCM of 441, 728, 947, 922, 922?

Answer: LCM of 441, 728, 947, 922, 922 is 20022708888.

2. How to calculate the LCM of 441, 728, 947, 922, 922?

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 441, 728, 947, 922, 922.

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}.