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LCM of 441, 963, 527, 158, 620

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


Find the LCM of 441, 963, 527, 158, 620 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, 963, 527, 158, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,963,527,158,620

Given numbers are 441,963,527,158,620

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

The LCM of 441,963,527,158,620 is 39290727420.

Find LCM of 441,963,527,158,620 with Prime Factorization


2 441, 963, 527, 158, 620
3 441, 963, 527, 79, 310
3 147, 321, 527, 79, 310
31 49, 107, 527, 79, 310
49, 107, 17, 79, 10

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

2 x 3 x 3 x 31 x 49 x 107 x 17 x 79 x 10 = 39290727420

Therefore, the lowest common multiple of 441,963,527,158,620 is 39290727420.

LCM Formula to Find Lowest Common Multiple of 441,963,527,158,620

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 963 x 527 x 158 x 620 = 21924225900360

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

963 : 1, 3, 9, 107, 321, 963

527 : 1, 17, 31, 527

158 : 1, 2, 79, 158

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,963,527,158,620, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

963:3x 3x 107

527:17x 31

158:2x 79

620:2x 2x 5x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 31 = 558

Therefore, the value for common factors is 558.

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 = 21924225900360/(1x558)

LCM = 21924225900360/558

LCM = 39290727420

Thus, we can understand that the LCM of 441,963,527,158,620 is 39290727420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 963, 527, 158, 620

1. What is the LCM of 441, 963, 527, 158, 620?

Answer: LCM of 441, 963, 527, 158, 620 is 39290727420.

2. How to calculate the LCM of 441, 963, 527, 158, 620?

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, 963, 527, 158, 620.

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}.