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LCM of 840, 592, 940, 671

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


Find the LCM of 840, 592, 940, 671 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, 592, 940, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,592,940,671

Given numbers are 840,592,940,671

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

The LCM of 840,592,940,671 is 1960339920.

Find LCM of 840,592,940,671 with Prime Factorization


2 840, 592, 940, 671
2 420, 296, 470, 671
2 210, 148, 235, 671
5 105, 74, 235, 671
21, 74, 47, 671

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

2 x 2 x 2 x 5 x 21 x 74 x 47 x 671 = 1960339920

Therefore, the lowest common multiple of 840,592,940,671 is 1960339920.

LCM Formula to Find Lowest Common Multiple of 840,592,940,671

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 592 x 940 x 671 = 313654387200

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,592,940,671, is 1.

Now, the common factors can be found like this.

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

592:2x 2x 2x 2x 37

940:2x 2x 5x 47

671:11x 61

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 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 313654387200/(1x160)

LCM = 313654387200/160

LCM = 1960339920

Thus, we can understand that the LCM of 840,592,940,671 is 1960339920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 840, 592, 940, 671

1. What is the LCM of 840, 592, 940, 671?

Answer: LCM of 840, 592, 940, 671 is 1960339920.

2. How to calculate the LCM of 840, 592, 940, 671?

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, 592, 940, 671.

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}.