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LCM of 560, 476, 146, 836

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


Find the LCM of 560, 476, 146, 836 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 560, 476, 146, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,476,146,836

Given numbers are 560,476,146,836

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

The LCM of 560,476,146,836 is 145246640.

Find LCM of 560,476,146,836 with Prime Factorization


2 560, 476, 146, 836
2 280, 238, 73, 418
7 140, 119, 73, 209
20, 17, 73, 209

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

2 x 2 x 7 x 20 x 17 x 73 x 209 = 145246640

Therefore, the lowest common multiple of 560,476,146,836 is 145246640.

LCM Formula to Find Lowest Common Multiple of 560,476,146,836

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.

560 x 476 x 146 x 836 = 32535247360

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

146 : 1, 2, 73, 146

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,476,146,836, is 2.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

476:2x 2x 7x 17

146:2x 73

836:2x 2x 11x 19

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 32535247360/(2x112)

LCM = 32535247360/224

LCM = 145246640

Thus, we can understand that the LCM of 560,476,146,836 is 145246640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 476, 146, 836

1. What is the LCM of 560, 476, 146, 836?

Answer: LCM of 560, 476, 146, 836 is 145246640.

2. How to calculate the LCM of 560, 476, 146, 836?

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 560, 476, 146, 836.

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}.