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LCM of 794, 279, 658, 534

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


Find the LCM of 794, 279, 658, 534 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 794, 279, 658, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,279,658,534

Given numbers are 794,279,658,534

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

The LCM of 794,279,658,534 is 6486502806.

Find LCM of 794,279,658,534 with Prime Factorization


2 794, 279, 658, 534
3 397, 279, 329, 267
397, 93, 329, 89

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

2 x 3 x 397 x 93 x 329 x 89 = 6486502806

Therefore, the lowest common multiple of 794,279,658,534 is 6486502806.

LCM Formula to Find Lowest Common Multiple of 794,279,658,534

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.

794 x 279 x 658 x 534 = 77838033672

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.

794 : 1, 2, 397, 794

279 : 1, 3, 9, 31, 93, 279

658 : 1, 2, 7, 14, 47, 94, 329, 658

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,279,658,534, is 1.

Now, the common factors can be found like this.

794:2x 397

279:3x 3x 31

658:2x 7x 47

534:2x 3x 89

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 3 = 12

Therefore, the value for common factors is 12.

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 = 77838033672/(1x12)

LCM = 77838033672/12

LCM = 6486502806

Thus, we can understand that the LCM of 794,279,658,534 is 6486502806.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 279, 658, 534

1. What is the LCM of 794, 279, 658, 534?

Answer: LCM of 794, 279, 658, 534 is 6486502806.

2. How to calculate the LCM of 794, 279, 658, 534?

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 794, 279, 658, 534.

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}.