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LCM of 619, 149, 596

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


Find the LCM of 619, 149, 596 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 619, 149, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,149,596

Given numbers are 619,149,596

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

The LCM of 619,149,596 is 368924.

Find LCM of 619,149,596 with Prime Factorization


149 619, 149, 596
619, 1, 4

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

149 x 619 x 1 x 4 = 368924

Therefore, the lowest common multiple of 619,149,596 is 368924.

LCM Formula to Find Lowest Common Multiple of 619,149,596

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.

619 x 149 x 596 = 54969676

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.

619 : 1, 619

149 : 1, 149

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,149,596, is 1.

Now, the common factors can be found like this.

619:619

149:149

596:2x 2x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

149 = 149

Therefore, the value for common factors is 149.

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 = 54969676/(1x149)

LCM = 54969676/149

LCM = 368924

Thus, we can understand that the LCM of 619,149,596 is 368924.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 619, 149, 596

1. What is the LCM of 619, 149, 596?

Answer: LCM of 619, 149, 596 is 368924.

2. How to calculate the LCM of 619, 149, 596?

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 619, 149, 596.

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}.