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LCM of 429, 651, 898, 791

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


Find the LCM of 429, 651, 898, 791 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 429, 651, 898, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,651,898,791

Given numbers are 429,651,898,791

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

The LCM of 429,651,898,791 is 9446519082.

Find LCM of 429,651,898,791 with Prime Factorization


3 429, 651, 898, 791
7 143, 217, 898, 791
143, 31, 898, 113

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

3 x 7 x 143 x 31 x 898 x 113 = 9446519082

Therefore, the lowest common multiple of 429,651,898,791 is 9446519082.

LCM Formula to Find Lowest Common Multiple of 429,651,898,791

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.

429 x 651 x 898 x 791 = 198376900722

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

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

898 : 1, 2, 449, 898

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,651,898,791, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

651:3x 7x 31

898:2x 449

791:7x 113

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 198376900722/(1x21)

LCM = 198376900722/21

LCM = 9446519082

Thus, we can understand that the LCM of 429,651,898,791 is 9446519082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 651, 898, 791

1. What is the LCM of 429, 651, 898, 791?

Answer: LCM of 429, 651, 898, 791 is 9446519082.

2. How to calculate the LCM of 429, 651, 898, 791?

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 429, 651, 898, 791.

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}.