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LCM of 992, 510, 103, 121

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


Find the LCM of 992, 510, 103, 121 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 992, 510, 103, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 992,510,103,121

Given numbers are 992,510,103,121

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

The LCM of 992,510,103,121 is 3152640480.

Find LCM of 992,510,103,121 with Prime Factorization


2 992, 510, 103, 121
496, 255, 103, 121

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

2 x 496 x 255 x 103 x 121 = 3152640480

Therefore, the lowest common multiple of 992,510,103,121 is 3152640480.

LCM Formula to Find Lowest Common Multiple of 992,510,103,121

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.

992 x 510 x 103 x 121 = 6305280960

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

103 : 1, 103

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,510,103,121, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

510:2x 3x 5x 17

103:103

121:11x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6305280960/(1x2)

LCM = 6305280960/2

LCM = 3152640480

Thus, we can understand that the LCM of 992,510,103,121 is 3152640480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 992, 510, 103, 121

1. What is the LCM of 992, 510, 103, 121?

Answer: LCM of 992, 510, 103, 121 is 3152640480.

2. How to calculate the LCM of 992, 510, 103, 121?

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 992, 510, 103, 121.

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}.