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LCM of 377, 556, 387, 278

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


Find the LCM of 377, 556, 387, 278 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, 556, 387, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,556,387,278

Given numbers are 377,556,387,278

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

The LCM of 377,556,387,278 is 81119844.

Find LCM of 377,556,387,278 with Prime Factorization


2 377, 556, 387, 278
139 377, 278, 387, 139
377, 2, 387, 1

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

2 x 139 x 377 x 2 x 387 x 1 = 81119844

Therefore, the lowest common multiple of 377,556,387,278 is 81119844.

LCM Formula to Find Lowest Common Multiple of 377,556,387,278

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 556 x 387 x 278 = 22551316632

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

556 : 1, 2, 4, 139, 278, 556

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

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,556,387,278, is 1.

Now, the common factors can be found like this.

377:13x 29

556:2x 2x 139

387:3x 3x 43

278:2x 139

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 22551316632/(1x278)

LCM = 22551316632/278

LCM = 81119844

Thus, we can understand that the LCM of 377,556,387,278 is 81119844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 556, 387, 278

1. What is the LCM of 377, 556, 387, 278?

Answer: LCM of 377, 556, 387, 278 is 81119844.

2. How to calculate the LCM of 377, 556, 387, 278?

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, 556, 387, 278.

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}.