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LCM of 822, 274, 254, 319

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


Find the LCM of 822, 274, 254, 319 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 822, 274, 254, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,274,254,319

Given numbers are 822,274,254,319

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

The LCM of 822,274,254,319 is 33301686.

Find LCM of 822,274,254,319 with Prime Factorization


2 822, 274, 254, 319
137 411, 137, 127, 319
3, 1, 127, 319

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

2 x 137 x 3 x 1 x 127 x 319 = 33301686

Therefore, the lowest common multiple of 822,274,254,319 is 33301686.

LCM Formula to Find Lowest Common Multiple of 822,274,254,319

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.

822 x 274 x 254 x 319 = 18249323928

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

274 : 1, 2, 137, 274

254 : 1, 2, 127, 254

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,274,254,319, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

274:2x 137

254:2x 127

319:11x 29

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 137 = 548

Therefore, the value for common factors is 548.

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 = 18249323928/(1x548)

LCM = 18249323928/548

LCM = 33301686

Thus, we can understand that the LCM of 822,274,254,319 is 33301686.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 274, 254, 319

1. What is the LCM of 822, 274, 254, 319?

Answer: LCM of 822, 274, 254, 319 is 33301686.

2. How to calculate the LCM of 822, 274, 254, 319?

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 822, 274, 254, 319.

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}.