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LCM of 917, 655, 624

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


Find the LCM of 917, 655, 624 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 917, 655, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,655,624

Given numbers are 917,655,624

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

The LCM of 917,655,624 is 2861040.

Find LCM of 917,655,624 with Prime Factorization


131 917, 655, 624
7, 5, 624

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

131 x 7 x 5 x 624 = 2861040

Therefore, the lowest common multiple of 917,655,624 is 2861040.

LCM Formula to Find Lowest Common Multiple of 917,655,624

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.

917 x 655 x 624 = 374796240

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.

917 : 1, 7, 131, 917

655 : 1, 5, 131, 655

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,655,624, is 1.

Now, the common factors can be found like this.

917:7x 131

655:5x 131

624:2x 2x 2x 2x 3x 13

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

131 = 131

Therefore, the value for common factors is 131.

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 = 374796240/(1x131)

LCM = 374796240/131

LCM = 2861040

Thus, we can understand that the LCM of 917,655,624 is 2861040.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 917, 655, 624

1. What is the LCM of 917, 655, 624?

Answer: LCM of 917, 655, 624 is 2861040.

2. How to calculate the LCM of 917, 655, 624?

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 917, 655, 624.

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}.