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LCM of 547, 749, 926, 642

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


Find the LCM of 547, 749, 926, 642 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 547, 749, 926, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,749,926,642

Given numbers are 547,749,926,642

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

The LCM of 547,749,926,642 is 1138154934.

Find LCM of 547,749,926,642 with Prime Factorization


2 547, 749, 926, 642
107 547, 749, 463, 321
547, 7, 463, 3

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

2 x 107 x 547 x 7 x 463 x 3 = 1138154934

Therefore, the lowest common multiple of 547,749,926,642 is 1138154934.

LCM Formula to Find Lowest Common Multiple of 547,749,926,642

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.

547 x 749 x 926 x 642 = 243565155876

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.

547 : 1, 547

749 : 1, 7, 107, 749

926 : 1, 2, 463, 926

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,749,926,642, is 1.

Now, the common factors can be found like this.

547:547

749:7x 107

926:2x 463

642:2x 3x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 243565155876/(1x214)

LCM = 243565155876/214

LCM = 1138154934

Thus, we can understand that the LCM of 547,749,926,642 is 1138154934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 749, 926, 642

1. What is the LCM of 547, 749, 926, 642?

Answer: LCM of 547, 749, 926, 642 is 1138154934.

2. How to calculate the LCM of 547, 749, 926, 642?

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 547, 749, 926, 642.

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}.