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LCM of 932, 445, 607, 890

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


Find the LCM of 932, 445, 607, 890 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 932, 445, 607, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,445,607,890

Given numbers are 932,445,607,890

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

The LCM of 932,445,607,890 is 251747180.

Find LCM of 932,445,607,890 with Prime Factorization


2 932, 445, 607, 890
5 466, 445, 607, 445
89 466, 89, 607, 89
466, 1, 607, 1

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

2 x 5 x 89 x 466 x 1 x 607 x 1 = 251747180

Therefore, the lowest common multiple of 932,445,607,890 is 251747180.

LCM Formula to Find Lowest Common Multiple of 932,445,607,890

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.

932 x 445 x 607 x 890 = 224054990200

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.

932 : 1, 2, 4, 233, 466, 932

445 : 1, 5, 89, 445

607 : 1, 607

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,445,607,890, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

445:5x 89

607:607

890:2x 5x 89

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

2x 5x 89 = 890

Therefore, the value for common factors is 890.

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 = 224054990200/(1x890)

LCM = 224054990200/890

LCM = 251747180

Thus, we can understand that the LCM of 932,445,607,890 is 251747180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 445, 607, 890

1. What is the LCM of 932, 445, 607, 890?

Answer: LCM of 932, 445, 607, 890 is 251747180.

2. How to calculate the LCM of 932, 445, 607, 890?

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 932, 445, 607, 890.

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}.