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LCM of 421, 791, 429, 126

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


Find the LCM of 421, 791, 429, 126 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 421, 791, 429, 126. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,791,429,126

Given numbers are 421,791,429,126

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

The LCM of 421,791,429,126 is 857170314.

Find LCM of 421,791,429,126 with Prime Factorization


3 421, 791, 429, 126
7 421, 791, 143, 42
421, 113, 143, 6

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

3 x 7 x 421 x 113 x 143 x 6 = 857170314

Therefore, the lowest common multiple of 421,791,429,126 is 857170314.

LCM Formula to Find Lowest Common Multiple of 421,791,429,126

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.

421 x 791 x 429 x 126 = 18000576594

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.

421 : 1, 421

791 : 1, 7, 113, 791

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,791,429,126, is 1.

Now, the common factors can be found like this.

421:421

791:7x 113

429:3x 11x 13

126:2x 3x 3x 7

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 = 18000576594/(1x21)

LCM = 18000576594/21

LCM = 857170314

Thus, we can understand that the LCM of 421,791,429,126 is 857170314.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 791, 429, 126

1. What is the LCM of 421, 791, 429, 126?

Answer: LCM of 421, 791, 429, 126 is 857170314.

2. How to calculate the LCM of 421, 791, 429, 126?

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 421, 791, 429, 126.

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}.