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LCM of 826, 649, 545, 534

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


Find the LCM of 826, 649, 545, 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 826, 649, 545, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,649,545,534

Given numbers are 826,649,545,534

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

The LCM of 826,649,545,534 is 1322149290.

Find LCM of 826,649,545,534 with Prime Factorization


2 826, 649, 545, 534
59 413, 649, 545, 267
7, 11, 545, 267

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

2 x 59 x 7 x 11 x 545 x 267 = 1322149290

Therefore, the lowest common multiple of 826,649,545,534 is 1322149290.

LCM Formula to Find Lowest Common Multiple of 826,649,545,534

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.

826 x 649 x 545 x 534 = 156013616220

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

649 : 1, 11, 59, 649

545 : 1, 5, 109, 545

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 826,649,545,534, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

649:11x 59

545:5x 109

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 59 = 118

Therefore, the value for common factors is 118.

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 = 156013616220/(1x118)

LCM = 156013616220/118

LCM = 1322149290

Thus, we can understand that the LCM of 826,649,545,534 is 1322149290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 649, 545, 534

1. What is the LCM of 826, 649, 545, 534?

Answer: LCM of 826, 649, 545, 534 is 1322149290.

2. How to calculate the LCM of 826, 649, 545, 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 826, 649, 545, 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}.