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LCM of 441, 266, 651, 651

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


Find the LCM of 441, 266, 651, 651 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, 266, 651, 651. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,266,651,651

Given numbers are 441,266,651,651

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

The LCM of 441,266,651,651 is 519498.

Find LCM of 441,266,651,651 with Prime Factorization


3 441, 266, 651, 651
7 147, 266, 217, 217
31 21, 38, 31, 31
21, 38, 1, 1

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

3 x 7 x 31 x 21 x 38 x 1 x 1 = 519498

Therefore, the lowest common multiple of 441,266,651,651 is 519498.

LCM Formula to Find Lowest Common Multiple of 441,266,651,651

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 266 x 651 x 651 = 49714400106

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

651 : 1, 3, 7, 21, 31, 93, 217, 651

651 : 1, 3, 7, 21, 31, 93, 217, 651

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,266,651,651, is 7.

Now, the common factors can be found like this.

441:3x 3x 7x 7

266:2x 7x 19

651:3x 7x 31

651:3x 7x 31

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

3x 3x 7x 7x 31 = 13671

Therefore, the value for common factors is 13671.

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 = 49714400106/(7x13671)

LCM = 49714400106/95697

LCM = 519498

Thus, we can understand that the LCM of 441,266,651,651 is 519498.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 266, 651, 651

1. What is the LCM of 441, 266, 651, 651?

Answer: LCM of 441, 266, 651, 651 is 519498.

2. How to calculate the LCM of 441, 266, 651, 651?

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, 266, 651, 651.

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}.