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LCM of 840, 399, 408, 757

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


Find the LCM of 840, 399, 408, 757 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 840, 399, 408, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,399,408,757

Given numbers are 840,399,408,757

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

The LCM of 840,399,408,757 is 205389240.

Find LCM of 840,399,408,757 with Prime Factorization


2 840, 399, 408, 757
2 420, 399, 204, 757
2 210, 399, 102, 757
3 105, 399, 51, 757
7 35, 133, 17, 757
5, 19, 17, 757

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

2 x 2 x 2 x 3 x 7 x 5 x 19 x 17 x 757 = 205389240

Therefore, the lowest common multiple of 840,399,408,757 is 205389240.

LCM Formula to Find Lowest Common Multiple of 840,399,408,757

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.

840 x 399 x 408 x 757 = 103516176960

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.

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,399,408,757, is 1.

Now, the common factors can be found like this.

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

399:3x 7x 19

408:2x 2x 2x 3x 17

757:757

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 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 103516176960/(1x504)

LCM = 103516176960/504

LCM = 205389240

Thus, we can understand that the LCM of 840,399,408,757 is 205389240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 840, 399, 408, 757

1. What is the LCM of 840, 399, 408, 757?

Answer: LCM of 840, 399, 408, 757 is 205389240.

2. How to calculate the LCM of 840, 399, 408, 757?

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 840, 399, 408, 757.

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}.