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LCM of 604, 746, 746, 755

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


Find the LCM of 604, 746, 746, 755 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 604, 746, 746, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,746,746,755

Given numbers are 604,746,746,755

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

The LCM of 604,746,746,755 is 1126460.

Find LCM of 604,746,746,755 with Prime Factorization


2 604, 746, 746, 755
151 302, 373, 373, 755
373 2, 373, 373, 5
2, 1, 1, 5

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

2 x 151 x 373 x 2 x 1 x 1 x 5 = 1126460

Therefore, the lowest common multiple of 604,746,746,755 is 1126460.

LCM Formula to Find Lowest Common Multiple of 604,746,746,755

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.

604 x 746 x 746 x 755 = 253782426320

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.

604 : 1, 2, 4, 151, 302, 604

746 : 1, 2, 373, 746

746 : 1, 2, 373, 746

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,746,746,755, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

746:2x 373

746:2x 373

755:5x 151

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 151x 373 = 225292

Therefore, the value for common factors is 225292.

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 = 253782426320/(1x225292)

LCM = 253782426320/225292

LCM = 1126460

Thus, we can understand that the LCM of 604,746,746,755 is 1126460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 746, 746, 755

1. What is the LCM of 604, 746, 746, 755?

Answer: LCM of 604, 746, 746, 755 is 1126460.

2. How to calculate the LCM of 604, 746, 746, 755?

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 604, 746, 746, 755.

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}.