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LCM of 460, 890, 341, 374

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


Find the LCM of 460, 890, 341, 374 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 460, 890, 341, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,890,341,374

Given numbers are 460,890,341,374

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

The LCM of 460,890,341,374 is 237329180.

Find LCM of 460,890,341,374 with Prime Factorization


2 460, 890, 341, 374
5 230, 445, 341, 187
11 46, 89, 341, 187
46, 89, 31, 17

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

2 x 5 x 11 x 46 x 89 x 31 x 17 = 237329180

Therefore, the lowest common multiple of 460,890,341,374 is 237329180.

LCM Formula to Find Lowest Common Multiple of 460,890,341,374

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.

460 x 890 x 341 x 374 = 52212419600

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

890 : 1, 2, 5, 10, 89, 178, 445, 890

341 : 1, 11, 31, 341

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,890,341,374, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

890:2x 5x 89

341:11x 31

374:2x 11x 17

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 52212419600/(1x220)

LCM = 52212419600/220

LCM = 237329180

Thus, we can understand that the LCM of 460,890,341,374 is 237329180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 890, 341, 374

1. What is the LCM of 460, 890, 341, 374?

Answer: LCM of 460, 890, 341, 374 is 237329180.

2. How to calculate the LCM of 460, 890, 341, 374?

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 460, 890, 341, 374.

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}.