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LCM of 619, 816, 374, 337

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


Find the LCM of 619, 816, 374, 337 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, 816, 374, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,816,374,337

Given numbers are 619,816,374,337

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

The LCM of 619,816,374,337 is 1872420528.

Find LCM of 619,816,374,337 with Prime Factorization


2 619, 816, 374, 337
17 619, 408, 187, 337
619, 24, 11, 337

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

2 x 17 x 619 x 24 x 11 x 337 = 1872420528

Therefore, the lowest common multiple of 619,816,374,337 is 1872420528.

LCM Formula to Find Lowest Common Multiple of 619,816,374,337

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 816 x 374 x 337 = 63662297952

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

374 : 1, 2, 11, 17, 22, 34, 187, 374

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,816,374,337, is 1.

Now, the common factors can be found like this.

619:619

816:2x 2x 2x 2x 3x 17

374:2x 11x 17

337:337

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 63662297952/(1x34)

LCM = 63662297952/34

LCM = 1872420528

Thus, we can understand that the LCM of 619,816,374,337 is 1872420528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 816, 374, 337

1. What is the LCM of 619, 816, 374, 337?

Answer: LCM of 619, 816, 374, 337 is 1872420528.

2. How to calculate the LCM of 619, 816, 374, 337?

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, 816, 374, 337.

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}.