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LCM of 654, 924, 543, 679, 742

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


Find the LCM of 654, 924, 543, 679, 742 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 654, 924, 543, 679, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,924,543,679,742

Given numbers are 654,924,543,679,742

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

The LCM of 654,924,543,679,742 is 93718353036.

Find LCM of 654,924,543,679,742 with Prime Factorization


2 654, 924, 543, 679, 742
3 327, 462, 543, 679, 371
7 109, 154, 181, 679, 371
109, 22, 181, 97, 53

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

2 x 3 x 7 x 109 x 22 x 181 x 97 x 53 = 93718353036

Therefore, the lowest common multiple of 654,924,543,679,742 is 93718353036.

LCM Formula to Find Lowest Common Multiple of 654,924,543,679,742

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.

654 x 924 x 543 x 679 x 742 = 165319174755504

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

543 : 1, 3, 181, 543

679 : 1, 7, 97, 679

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,924,543,679,742, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

924:2x 2x 3x 7x 11

543:3x 181

679:7x 97

742:2x 7x 53

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 7x 7 = 1764

Therefore, the value for common factors is 1764.

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 = 165319174755504/(1x1764)

LCM = 165319174755504/1764

LCM = 93718353036

Thus, we can understand that the LCM of 654,924,543,679,742 is 93718353036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 924, 543, 679, 742

1. What is the LCM of 654, 924, 543, 679, 742?

Answer: LCM of 654, 924, 543, 679, 742 is 93718353036.

2. How to calculate the LCM of 654, 924, 543, 679, 742?

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 654, 924, 543, 679, 742.

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}.