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LCM of 397, 590, 156, 692

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


Find the LCM of 397, 590, 156, 692 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 397, 590, 156, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,590,156,692

Given numbers are 397,590,156,692

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

The LCM of 397,590,156,692 is 3160699620.

Find LCM of 397,590,156,692 with Prime Factorization


2 397, 590, 156, 692
2 397, 295, 78, 346
397, 295, 39, 173

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

2 x 2 x 397 x 295 x 39 x 173 = 3160699620

Therefore, the lowest common multiple of 397,590,156,692 is 3160699620.

LCM Formula to Find Lowest Common Multiple of 397,590,156,692

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.

397 x 590 x 156 x 692 = 25285596960

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.

397 : 1, 397

590 : 1, 2, 5, 10, 59, 118, 295, 590

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,590,156,692, is 1.

Now, the common factors can be found like this.

397:397

590:2x 5x 59

156:2x 2x 3x 13

692:2x 2x 173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25285596960/(1x8)

LCM = 25285596960/8

LCM = 3160699620

Thus, we can understand that the LCM of 397,590,156,692 is 3160699620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 590, 156, 692

1. What is the LCM of 397, 590, 156, 692?

Answer: LCM of 397, 590, 156, 692 is 3160699620.

2. How to calculate the LCM of 397, 590, 156, 692?

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 397, 590, 156, 692.

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}.