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LCM of 752, 418, 273, 171, 387

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


Find the LCM of 752, 418, 273, 171, 387 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 752, 418, 273, 171, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,418,273,171,387

Given numbers are 752,418,273,171,387

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

The LCM of 752,418,273,171,387 is 5534985456.

Find LCM of 752,418,273,171,387 with Prime Factorization


2 752, 418, 273, 171, 387
3 376, 209, 273, 171, 387
3 376, 209, 91, 57, 129
19 376, 209, 91, 19, 43
376, 11, 91, 1, 43

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

2 x 3 x 3 x 19 x 376 x 11 x 91 x 1 x 43 = 5534985456

Therefore, the lowest common multiple of 752,418,273,171,387 is 5534985456.

LCM Formula to Find Lowest Common Multiple of 752,418,273,171,387

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.

752 x 418 x 273 x 171 x 387 = 5678895077856

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

418 : 1, 2, 11, 19, 22, 38, 209, 418

273 : 1, 3, 7, 13, 21, 39, 91, 273

171 : 1, 3, 9, 19, 57, 171

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,418,273,171,387, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

418:2x 11x 19

273:3x 7x 13

171:3x 3x 19

387:3x 3x 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 3x 3x 3x 19 = 1026

Therefore, the value for common factors is 1026.

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 = 5678895077856/(1x1026)

LCM = 5678895077856/1026

LCM = 5534985456

Thus, we can understand that the LCM of 752,418,273,171,387 is 5534985456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 418, 273, 171, 387

1. What is the LCM of 752, 418, 273, 171, 387?

Answer: LCM of 752, 418, 273, 171, 387 is 5534985456.

2. How to calculate the LCM of 752, 418, 273, 171, 387?

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 752, 418, 273, 171, 387.

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}.