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LCM of 826, 290, 767, 362

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


Find the LCM of 826, 290, 767, 362 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, 290, 767, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,290,767,362

Given numbers are 826,290,767,362

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

The LCM of 826,290,767,362 is 281818810.

Find LCM of 826,290,767,362 with Prime Factorization


2 826, 290, 767, 362
59 413, 145, 767, 181
7, 145, 13, 181

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

2 x 59 x 7 x 145 x 13 x 181 = 281818810

Therefore, the lowest common multiple of 826,290,767,362 is 281818810.

LCM Formula to Find Lowest Common Multiple of 826,290,767,362

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 290 x 767 x 362 = 66509239160

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

767 : 1, 13, 59, 767

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,290,767,362, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

290:2x 5x 29

767:13x 59

362:2x 181

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 59 = 236

Therefore, the value for common factors is 236.

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 = 66509239160/(1x236)

LCM = 66509239160/236

LCM = 281818810

Thus, we can understand that the LCM of 826,290,767,362 is 281818810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 290, 767, 362

1. What is the LCM of 826, 290, 767, 362?

Answer: LCM of 826, 290, 767, 362 is 281818810.

2. How to calculate the LCM of 826, 290, 767, 362?

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, 290, 767, 362.

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}.