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LCM of 822, 420, 965, 251

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


Find the LCM of 822, 420, 965, 251 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, 420, 965, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,420,965,251

Given numbers are 822,420,965,251

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

The LCM of 822,420,965,251 is 2787410220.

Find LCM of 822,420,965,251 with Prime Factorization


2 822, 420, 965, 251
3 411, 210, 965, 251
5 137, 70, 965, 251
137, 14, 193, 251

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

2 x 3 x 5 x 137 x 14 x 193 x 251 = 2787410220

Therefore, the lowest common multiple of 822,420,965,251 is 2787410220.

LCM Formula to Find Lowest Common Multiple of 822,420,965,251

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 420 x 965 x 251 = 83622306600

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

965 : 1, 5, 193, 965

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,420,965,251, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

420:2x 2x 3x 5x 7

965:5x 193

251:251

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 83622306600/(1x30)

LCM = 83622306600/30

LCM = 2787410220

Thus, we can understand that the LCM of 822,420,965,251 is 2787410220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 420, 965, 251

1. What is the LCM of 822, 420, 965, 251?

Answer: LCM of 822, 420, 965, 251 is 2787410220.

2. How to calculate the LCM of 822, 420, 965, 251?

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, 420, 965, 251.

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}.