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LCM of 542, 776, 465, 286, 679

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


Find the LCM of 542, 776, 465, 286, 679 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 542, 776, 465, 286, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,776,465,286,679

Given numbers are 542,776,465,286,679

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

The LCM of 542,776,465,286,679 is 97885427640.

Find LCM of 542,776,465,286,679 with Prime Factorization


2 542, 776, 465, 286, 679
97 271, 388, 465, 143, 679
271, 4, 465, 143, 7

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

2 x 97 x 271 x 4 x 465 x 143 x 7 = 97885427640

Therefore, the lowest common multiple of 542,776,465,286,679 is 97885427640.

LCM Formula to Find Lowest Common Multiple of 542,776,465,286,679

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.

542 x 776 x 465 x 286 x 679 = 37979545924320

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.

542 : 1, 2, 271, 542

776 : 1, 2, 4, 8, 97, 194, 388, 776

465 : 1, 3, 5, 15, 31, 93, 155, 465

286 : 1, 2, 11, 13, 22, 26, 143, 286

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,776,465,286,679, is 1.

Now, the common factors can be found like this.

542:2x 271

776:2x 2x 2x 97

465:3x 5x 31

286:2x 11x 13

679:7x 97

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 97 = 388

Therefore, the value for common factors is 388.

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 = 37979545924320/(1x388)

LCM = 37979545924320/388

LCM = 97885427640

Thus, we can understand that the LCM of 542,776,465,286,679 is 97885427640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 776, 465, 286, 679

1. What is the LCM of 542, 776, 465, 286, 679?

Answer: LCM of 542, 776, 465, 286, 679 is 97885427640.

2. How to calculate the LCM of 542, 776, 465, 286, 679?

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 542, 776, 465, 286, 679.

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}.