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LCM of 988, 222, 962, 916

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


Find the LCM of 988, 222, 962, 916 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 988, 222, 962, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,222,962,916

Given numbers are 988,222,962,916

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

The LCM of 988,222,962,916 is 25113972.

Find LCM of 988,222,962,916 with Prime Factorization


2 988, 222, 962, 916
2 494, 111, 481, 458
13 247, 111, 481, 229
37 19, 111, 37, 229
19, 3, 1, 229

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

2 x 2 x 13 x 37 x 19 x 3 x 1 x 229 = 25113972

Therefore, the lowest common multiple of 988,222,962,916 is 25113972.

LCM Formula to Find Lowest Common Multiple of 988,222,962,916

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.

988 x 222 x 962 x 916 = 193277128512

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

222 : 1, 2, 3, 6, 37, 74, 111, 222

962 : 1, 2, 13, 26, 37, 74, 481, 962

916 : 1, 2, 4, 229, 458, 916

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,222,962,916, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

222:2x 3x 37

962:2x 13x 37

916:2x 2x 229

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 2x 13x 37 = 3848

Therefore, the value for common factors is 3848.

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 = 193277128512/(2x3848)

LCM = 193277128512/7696

LCM = 25113972

Thus, we can understand that the LCM of 988,222,962,916 is 25113972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 222, 962, 916

1. What is the LCM of 988, 222, 962, 916?

Answer: LCM of 988, 222, 962, 916 is 25113972.

2. How to calculate the LCM of 988, 222, 962, 916?

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 988, 222, 962, 916.

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}.