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LCM of 774, 634, 755, 248

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


Find the LCM of 774, 634, 755, 248 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 774, 634, 755, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,634,755,248

Given numbers are 774,634,755,248

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

The LCM of 774,634,755,248 is 22970415960.

Find LCM of 774,634,755,248 with Prime Factorization


2 774, 634, 755, 248
387, 317, 755, 124

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

2 x 387 x 317 x 755 x 124 = 22970415960

Therefore, the lowest common multiple of 774,634,755,248 is 22970415960.

LCM Formula to Find Lowest Common Multiple of 774,634,755,248

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.

774 x 634 x 755 x 248 = 91881663840

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

634 : 1, 2, 317, 634

755 : 1, 5, 151, 755

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,634,755,248, is 1.

Now, the common factors can be found like this.

774:2x 3x 3x 43

634:2x 317

755:5x 151

248:2x 2x 2x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 91881663840/(1x4)

LCM = 91881663840/4

LCM = 22970415960

Thus, we can understand that the LCM of 774,634,755,248 is 22970415960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 774, 634, 755, 248

1. What is the LCM of 774, 634, 755, 248?

Answer: LCM of 774, 634, 755, 248 is 22970415960.

2. How to calculate the LCM of 774, 634, 755, 248?

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 774, 634, 755, 248.

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}.