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LCM of 377, 916, 753, 916

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


Find the LCM of 377, 916, 753, 916 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, 916, 753, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,916,753,916

Given numbers are 377,916,753,916

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

The LCM of 377,916,753,916 is 260034996.

Find LCM of 377,916,753,916 with Prime Factorization


2 377, 916, 753, 916
2 377, 458, 753, 458
229 377, 229, 753, 229
377, 1, 753, 1

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

2 x 2 x 229 x 377 x 1 x 753 x 1 = 260034996

Therefore, the lowest common multiple of 377,916,753,916 is 260034996.

LCM Formula to Find Lowest Common Multiple of 377,916,753,916

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 916 x 753 x 916 = 238192056336

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

916 : 1, 2, 4, 229, 458, 916

753 : 1, 3, 251, 753

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,916,753,916, is 1.

Now, the common factors can be found like this.

377:13x 29

916:2x 2x 229

753:3x 251

916:2x 2x 229

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 229 = 916

Therefore, the value for common factors is 916.

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 = 238192056336/(1x916)

LCM = 238192056336/916

LCM = 260034996

Thus, we can understand that the LCM of 377,916,753,916 is 260034996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 916, 753, 916

1. What is the LCM of 377, 916, 753, 916?

Answer: LCM of 377, 916, 753, 916 is 260034996.

2. How to calculate the LCM of 377, 916, 753, 916?

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, 916, 753, 916.

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}.