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LCM of 377, 782, 348, 587

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


Find the LCM of 377, 782, 348, 587 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 377, 782, 348, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,782,348,587

Given numbers are 377,782,348,587

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

The LCM of 377,782,348,587 is 1038334908.

Find LCM of 377,782,348,587 with Prime Factorization


2 377, 782, 348, 587
29 377, 391, 174, 587
13, 391, 6, 587

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

2 x 29 x 13 x 391 x 6 x 587 = 1038334908

Therefore, the lowest common multiple of 377,782,348,587 is 1038334908.

LCM Formula to Find Lowest Common Multiple of 377,782,348,587

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.

377 x 782 x 348 x 587 = 60223424664

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.

377 : 1, 13, 29, 377

782 : 1, 2, 17, 23, 34, 46, 391, 782

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,782,348,587, is 1.

Now, the common factors can be found like this.

377:13x 29

782:2x 17x 23

348:2x 2x 3x 29

587:587

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 60223424664/(1x58)

LCM = 60223424664/58

LCM = 1038334908

Thus, we can understand that the LCM of 377,782,348,587 is 1038334908.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 782, 348, 587

1. What is the LCM of 377, 782, 348, 587?

Answer: LCM of 377, 782, 348, 587 is 1038334908.

2. How to calculate the LCM of 377, 782, 348, 587?

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 377, 782, 348, 587.

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}.