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LCM of 619, 774, 398, 362, 344

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


Find the LCM of 619, 774, 398, 362, 344 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, 774, 398, 362, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,774,398,362,344

Given numbers are 619,774,398,362,344

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

The LCM of 619,774,398,362,344 is 69027676056.

Find LCM of 619,774,398,362,344 with Prime Factorization


2 619, 774, 398, 362, 344
43 619, 387, 199, 181, 172
619, 9, 199, 181, 4

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

2 x 43 x 619 x 9 x 199 x 181 x 4 = 69027676056

Therefore, the lowest common multiple of 619,774,398,362,344 is 69027676056.

LCM Formula to Find Lowest Common Multiple of 619,774,398,362,344

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 774 x 398 x 362 x 344 = 23745520563264

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

398 : 1, 2, 199, 398

362 : 1, 2, 181, 362

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,774,398,362,344, is 1.

Now, the common factors can be found like this.

619:619

774:2x 3x 3x 43

398:2x 199

362:2x 181

344:2x 2x 2x 43

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 2x 43 = 344

Therefore, the value for common factors is 344.

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 = 23745520563264/(1x344)

LCM = 23745520563264/344

LCM = 69027676056

Thus, we can understand that the LCM of 619,774,398,362,344 is 69027676056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 774, 398, 362, 344

1. What is the LCM of 619, 774, 398, 362, 344?

Answer: LCM of 619, 774, 398, 362, 344 is 69027676056.

2. How to calculate the LCM of 619, 774, 398, 362, 344?

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, 774, 398, 362, 344.

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}.