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LCM of 431, 474, 672, 234, 847

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


Find the LCM of 431, 474, 672, 234, 847 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 431, 474, 672, 234, 847. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,474,672,234,847

Given numbers are 431,474,672,234,847

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

The LCM of 431,474,672,234,847 is 107975099232.

Find LCM of 431,474,672,234,847 with Prime Factorization


2 431, 474, 672, 234, 847
3 431, 237, 336, 117, 847
7 431, 79, 112, 39, 847
431, 79, 16, 39, 121

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

2 x 3 x 7 x 431 x 79 x 16 x 39 x 121 = 107975099232

Therefore, the lowest common multiple of 431,474,672,234,847 is 107975099232.

LCM Formula to Find Lowest Common Multiple of 431,474,672,234,847

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.

431 x 474 x 672 x 234 x 847 = 27209725006464

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.

431 : 1, 431

474 : 1, 2, 3, 6, 79, 158, 237, 474

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

847 : 1, 7, 11, 77, 121, 847

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,474,672,234,847, is 1.

Now, the common factors can be found like this.

431:431

474:2x 3x 79

672:2x 2x 2x 2x 2x 3x 7

234:2x 3x 3x 13

847:7x 11x 11

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 27209725006464/(1x252)

LCM = 27209725006464/252

LCM = 107975099232

Thus, we can understand that the LCM of 431,474,672,234,847 is 107975099232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 474, 672, 234, 847

1. What is the LCM of 431, 474, 672, 234, 847?

Answer: LCM of 431, 474, 672, 234, 847 is 107975099232.

2. How to calculate the LCM of 431, 474, 672, 234, 847?

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 431, 474, 672, 234, 847.

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}.