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LCM of 836, 619, 394, 840

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


Find the LCM of 836, 619, 394, 840 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 836, 619, 394, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,619,394,840

Given numbers are 836,619,394,840

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

The LCM of 836,619,394,840 is 21408313080.

Find LCM of 836,619,394,840 with Prime Factorization


2 836, 619, 394, 840
2 418, 619, 197, 420
209, 619, 197, 210

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

2 x 2 x 209 x 619 x 197 x 210 = 21408313080

Therefore, the lowest common multiple of 836,619,394,840 is 21408313080.

LCM Formula to Find Lowest Common Multiple of 836,619,394,840

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.

836 x 619 x 394 x 840 = 171266504640

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

619 : 1, 619

394 : 1, 2, 197, 394

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,619,394,840, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

619:619

394:2x 197

840:2x 2x 2x 3x 5x 7

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 = 171266504640/(1x8)

LCM = 171266504640/8

LCM = 21408313080

Thus, we can understand that the LCM of 836,619,394,840 is 21408313080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 619, 394, 840

1. What is the LCM of 836, 619, 394, 840?

Answer: LCM of 836, 619, 394, 840 is 21408313080.

2. How to calculate the LCM of 836, 619, 394, 840?

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 836, 619, 394, 840.

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}.