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LCM of 635, 438, 657, 993

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


Find the LCM of 635, 438, 657, 993 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 635, 438, 657, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,438,657,993

Given numbers are 635,438,657,993

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

The LCM of 635,438,657,993 is 276183090.

Find LCM of 635,438,657,993 with Prime Factorization


3 635, 438, 657, 993
73 635, 146, 219, 331
635, 2, 3, 331

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

3 x 73 x 635 x 2 x 3 x 331 = 276183090

Therefore, the lowest common multiple of 635,438,657,993 is 276183090.

LCM Formula to Find Lowest Common Multiple of 635,438,657,993

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.

635 x 438 x 657 x 993 = 181452290130

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.

635 : 1, 5, 127, 635

438 : 1, 2, 3, 6, 73, 146, 219, 438

657 : 1, 3, 9, 73, 219, 657

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,438,657,993, is 1.

Now, the common factors can be found like this.

635:5x 127

438:2x 3x 73

657:3x 3x 73

993:3x 331

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

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 181452290130/(1x657)

LCM = 181452290130/657

LCM = 276183090

Thus, we can understand that the LCM of 635,438,657,993 is 276183090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 438, 657, 993

1. What is the LCM of 635, 438, 657, 993?

Answer: LCM of 635, 438, 657, 993 is 276183090.

2. How to calculate the LCM of 635, 438, 657, 993?

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 635, 438, 657, 993.

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}.