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LCM of 140, 455, 398, 120

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


Find the LCM of 140, 455, 398, 120 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 140, 455, 398, 120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 140,455,398,120

Given numbers are 140,455,398,120

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

The LCM of 140,455,398,120 is 2173080.

Find LCM of 140,455,398,120 with Prime Factorization


2 140, 455, 398, 120
2 70, 455, 199, 60
5 35, 455, 199, 30
7 7, 91, 199, 6
1, 13, 199, 6

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

2 x 2 x 5 x 7 x 1 x 13 x 199 x 6 = 2173080

Therefore, the lowest common multiple of 140,455,398,120 is 2173080.

LCM Formula to Find Lowest Common Multiple of 140,455,398,120

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.

140 x 455 x 398 x 120 = 3042312000

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.

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

398 : 1, 2, 199, 398

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,455,398,120, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

455:5x 7x 13

398:2x 199

120:2x 2x 2x 3x 5

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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 3042312000/(1x1400)

LCM = 3042312000/1400

LCM = 2173080

Thus, we can understand that the LCM of 140,455,398,120 is 2173080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 140, 455, 398, 120

1. What is the LCM of 140, 455, 398, 120?

Answer: LCM of 140, 455, 398, 120 is 2173080.

2. How to calculate the LCM of 140, 455, 398, 120?

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 140, 455, 398, 120.

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}.