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LCM of 543, 926, 881, 672

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


Find the LCM of 543, 926, 881, 672 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 543, 926, 881, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,926,881,672

Given numbers are 543,926,881,672

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

The LCM of 543,926,881,672 is 49614057696.

Find LCM of 543,926,881,672 with Prime Factorization


2 543, 926, 881, 672
3 543, 463, 881, 336
181, 463, 881, 112

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

2 x 3 x 181 x 463 x 881 x 112 = 49614057696

Therefore, the lowest common multiple of 543,926,881,672 is 49614057696.

LCM Formula to Find Lowest Common Multiple of 543,926,881,672

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.

543 x 926 x 881 x 672 = 297684346176

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.

543 : 1, 3, 181, 543

926 : 1, 2, 463, 926

881 : 1, 881

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,926,881,672, is 1.

Now, the common factors can be found like this.

543:3x 181

926:2x 463

881:881

672:2x 2x 2x 2x 2x 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.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 297684346176/(1x6)

LCM = 297684346176/6

LCM = 49614057696

Thus, we can understand that the LCM of 543,926,881,672 is 49614057696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 926, 881, 672

1. What is the LCM of 543, 926, 881, 672?

Answer: LCM of 543, 926, 881, 672 is 49614057696.

2. How to calculate the LCM of 543, 926, 881, 672?

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 543, 926, 881, 672.

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}.