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LCM of 950, 319, 294, 398

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


Find the LCM of 950, 319, 294, 398 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 950, 319, 294, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,319,294,398

Given numbers are 950,319,294,398

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

The LCM of 950,319,294,398 is 8865121650.

Find LCM of 950,319,294,398 with Prime Factorization


2 950, 319, 294, 398
475, 319, 147, 199

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

2 x 475 x 319 x 147 x 199 = 8865121650

Therefore, the lowest common multiple of 950,319,294,398 is 8865121650.

LCM Formula to Find Lowest Common Multiple of 950,319,294,398

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.

950 x 319 x 294 x 398 = 35460486600

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

319 : 1, 11, 29, 319

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,319,294,398, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

319:11x 29

294:2x 3x 7x 7

398:2x 199

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35460486600/(1x4)

LCM = 35460486600/4

LCM = 8865121650

Thus, we can understand that the LCM of 950,319,294,398 is 8865121650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 319, 294, 398

1. What is the LCM of 950, 319, 294, 398?

Answer: LCM of 950, 319, 294, 398 is 8865121650.

2. How to calculate the LCM of 950, 319, 294, 398?

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 950, 319, 294, 398.

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}.