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LCM of 119, 617, 140

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


Find the LCM of 119, 617, 140 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 119, 617, 140. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,617,140

Given numbers are 119,617,140

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

The LCM of 119,617,140 is 1468460.

Find LCM of 119,617,140 with Prime Factorization


7 119, 617, 140
17, 617, 20

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

7 x 17 x 617 x 20 = 1468460

Therefore, the lowest common multiple of 119,617,140 is 1468460.

LCM Formula to Find Lowest Common Multiple of 119,617,140

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.

119 x 617 x 140 = 10279220

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.

119 : 1, 7, 17, 119

617 : 1, 617

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,617,140, is 1.

Now, the common factors can be found like this.

119:7x 17

617:617

140:2x 2x 5x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 10279220/(1x7)

LCM = 10279220/7

LCM = 1468460

Thus, we can understand that the LCM of 119,617,140 is 1468460.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 119, 617, 140

1. What is the LCM of 119, 617, 140?

Answer: LCM of 119, 617, 140 is 1468460.

2. How to calculate the LCM of 119, 617, 140?

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 119, 617, 140.

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}.