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LCM of 754, 377, 661, 314

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


Find the LCM of 754, 377, 661, 314 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 754, 377, 661, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,377,661,314

Given numbers are 754,377,661,314

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

The LCM of 754,377,661,314 is 78247858.

Find LCM of 754,377,661,314 with Prime Factorization


2 754, 377, 661, 314
13 377, 377, 661, 157
29 29, 29, 661, 157
1, 1, 661, 157

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

2 x 13 x 29 x 1 x 1 x 661 x 157 = 78247858

Therefore, the lowest common multiple of 754,377,661,314 is 78247858.

LCM Formula to Find Lowest Common Multiple of 754,377,661,314

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.

754 x 377 x 661 x 314 = 58998884932

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

377 : 1, 13, 29, 377

661 : 1, 661

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,377,661,314, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

377:13x 29

661:661

314:2x 157

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

2x 13x 29 = 754

Therefore, the value for common factors is 754.

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 = 58998884932/(1x754)

LCM = 58998884932/754

LCM = 78247858

Thus, we can understand that the LCM of 754,377,661,314 is 78247858.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 377, 661, 314

1. What is the LCM of 754, 377, 661, 314?

Answer: LCM of 754, 377, 661, 314 is 78247858.

2. How to calculate the LCM of 754, 377, 661, 314?

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 754, 377, 661, 314.

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}.