LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 634, 456, 740, 921

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


Find the LCM of 634, 456, 740, 921 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 634, 456, 740, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,456,740,921

Given numbers are 634,456,740,921

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

The LCM of 634,456,740,921 is 8209830840.

Find LCM of 634,456,740,921 with Prime Factorization


2 634, 456, 740, 921
2 317, 228, 370, 921
3 317, 114, 185, 921
317, 38, 185, 307

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

2 x 2 x 3 x 317 x 38 x 185 x 307 = 8209830840

Therefore, the lowest common multiple of 634,456,740,921 is 8209830840.

LCM Formula to Find Lowest Common Multiple of 634,456,740,921

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.

634 x 456 x 740 x 921 = 197035940160

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.

634 : 1, 2, 317, 634

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,456,740,921, is 1.

Now, the common factors can be found like this.

634:2x 317

456:2x 2x 2x 3x 19

740:2x 2x 5x 37

921:3x 307

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 197035940160/(1x24)

LCM = 197035940160/24

LCM = 8209830840

Thus, we can understand that the LCM of 634,456,740,921 is 8209830840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 456, 740, 921

1. What is the LCM of 634, 456, 740, 921?

Answer: LCM of 634, 456, 740, 921 is 8209830840.

2. How to calculate the LCM of 634, 456, 740, 921?

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 634, 456, 740, 921.

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}.