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LCM of 650, 795, 144, 112

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


Find the LCM of 650, 795, 144, 112 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 650, 795, 144, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 650,795,144,112

Given numbers are 650,795,144,112

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

The LCM of 650,795,144,112 is 17362800.

Find LCM of 650,795,144,112 with Prime Factorization


2 650, 795, 144, 112
2 325, 795, 72, 56
2 325, 795, 36, 28
2 325, 795, 18, 14
3 325, 795, 9, 7
5 325, 265, 3, 7
65, 53, 3, 7

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

2 x 2 x 2 x 2 x 3 x 5 x 65 x 53 x 3 x 7 = 17362800

Therefore, the lowest common multiple of 650,795,144,112 is 17362800.

LCM Formula to Find Lowest Common Multiple of 650,795,144,112

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.

650 x 795 x 144 x 112 = 8334144000

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.

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

795 : 1, 3, 5, 15, 53, 159, 265, 795

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,795,144,112, is 1.

Now, the common factors can be found like this.

650:2x 5x 5x 13

795:3x 5x 53

144:2x 2x 2x 2x 3x 3

112:2x 2x 2x 2x 7

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 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 8334144000/(1x480)

LCM = 8334144000/480

LCM = 17362800

Thus, we can understand that the LCM of 650,795,144,112 is 17362800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 650, 795, 144, 112

1. What is the LCM of 650, 795, 144, 112?

Answer: LCM of 650, 795, 144, 112 is 17362800.

2. How to calculate the LCM of 650, 795, 144, 112?

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 650, 795, 144, 112.

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}.