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LCM of 932, 485, 702, 655, 845

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


Find the LCM of 932, 485, 702, 655, 845 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, 485, 702, 655, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,485,702,655,845

Given numbers are 932,485,702,655,845

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

The LCM of 932,485,702,655,845 is 270196311060.

Find LCM of 932,485,702,655,845 with Prime Factorization


2 932, 485, 702, 655, 845
5 466, 485, 351, 655, 845
13 466, 97, 351, 131, 169
466, 97, 27, 131, 13

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

2 x 5 x 13 x 466 x 97 x 27 x 131 x 13 = 270196311060

Therefore, the lowest common multiple of 932,485,702,655,845 is 270196311060.

LCM Formula to Find Lowest Common Multiple of 932,485,702,655,845

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 485 x 702 x 655 x 845 = 175627602189000

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

485 : 1, 5, 97, 485

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

655 : 1, 5, 131, 655

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,485,702,655,845, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

485:5x 97

702:2x 3x 3x 3x 13

655:5x 131

845:5x 13x 13

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 5x 13 = 650

Therefore, the value for common factors is 650.

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 = 175627602189000/(1x650)

LCM = 175627602189000/650

LCM = 270196311060

Thus, we can understand that the LCM of 932,485,702,655,845 is 270196311060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 485, 702, 655, 845

1. What is the LCM of 932, 485, 702, 655, 845?

Answer: LCM of 932, 485, 702, 655, 845 is 270196311060.

2. How to calculate the LCM of 932, 485, 702, 655, 845?

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, 485, 702, 655, 845.

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}.