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LCM of 280, 766, 430, 310

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


Find the LCM of 280, 766, 430, 310 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 280, 766, 430, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,766,430,310

Given numbers are 280,766,430,310

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

The LCM of 280,766,430,310 is 142950920.

Find LCM of 280,766,430,310 with Prime Factorization


2 280, 766, 430, 310
5 140, 383, 215, 155
28, 383, 43, 31

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

2 x 5 x 28 x 383 x 43 x 31 = 142950920

Therefore, the lowest common multiple of 280,766,430,310 is 142950920.

LCM Formula to Find Lowest Common Multiple of 280,766,430,310

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.

280 x 766 x 430 x 310 = 28590184000

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

766 : 1, 2, 383, 766

430 : 1, 2, 5, 10, 43, 86, 215, 430

310 : 1, 2, 5, 10, 31, 62, 155, 310

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,766,430,310, is 2.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

766:2x 383

430:2x 5x 43

310:2x 5x 31

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 5 = 100

Therefore, the value for common factors is 100.

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 = 28590184000/(2x100)

LCM = 28590184000/200

LCM = 142950920

Thus, we can understand that the LCM of 280,766,430,310 is 142950920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 766, 430, 310

1. What is the LCM of 280, 766, 430, 310?

Answer: LCM of 280, 766, 430, 310 is 142950920.

2. How to calculate the LCM of 280, 766, 430, 310?

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 280, 766, 430, 310.

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}.