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LCM of 565, 594, 836, 420

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


Find the LCM of 565, 594, 836, 420 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 565, 594, 836, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,594,836,420

Given numbers are 565,594,836,420

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

The LCM of 565,594,836,420 is 89272260.

Find LCM of 565,594,836,420 with Prime Factorization


2 565, 594, 836, 420
2 565, 297, 418, 210
3 565, 297, 209, 105
5 565, 99, 209, 35
11 113, 99, 209, 7
113, 9, 19, 7

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

2 x 2 x 3 x 5 x 11 x 113 x 9 x 19 x 7 = 89272260

Therefore, the lowest common multiple of 565,594,836,420 is 89272260.

LCM Formula to Find Lowest Common Multiple of 565,594,836,420

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.

565 x 594 x 836 x 420 = 117839383200

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.

565 : 1, 5, 113, 565

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,594,836,420, is 1.

Now, the common factors can be found like this.

565:5x 113

594:2x 3x 3x 3x 11

836:2x 2x 11x 19

420:2x 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 2x 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 117839383200/(1x1320)

LCM = 117839383200/1320

LCM = 89272260

Thus, we can understand that the LCM of 565,594,836,420 is 89272260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 594, 836, 420

1. What is the LCM of 565, 594, 836, 420?

Answer: LCM of 565, 594, 836, 420 is 89272260.

2. How to calculate the LCM of 565, 594, 836, 420?

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 565, 594, 836, 420.

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}.