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LCM of 121, 823, 574, 312

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


Find the LCM of 121, 823, 574, 312 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 121, 823, 574, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,823,574,312

Given numbers are 121,823,574,312

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

The LCM of 121,823,574,312 is 8917060152.

Find LCM of 121,823,574,312 with Prime Factorization


2 121, 823, 574, 312
121, 823, 287, 156

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

2 x 121 x 823 x 287 x 156 = 8917060152

Therefore, the lowest common multiple of 121,823,574,312 is 8917060152.

LCM Formula to Find Lowest Common Multiple of 121,823,574,312

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.

121 x 823 x 574 x 312 = 17834120304

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.

121 : 1, 11, 121

823 : 1, 823

574 : 1, 2, 7, 14, 41, 82, 287, 574

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,823,574,312, is 1.

Now, the common factors can be found like this.

121:11x 11

823:823

574:2x 7x 41

312:2x 2x 2x 3x 13

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 = 17834120304/(1x2)

LCM = 17834120304/2

LCM = 8917060152

Thus, we can understand that the LCM of 121,823,574,312 is 8917060152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 823, 574, 312

1. What is the LCM of 121, 823, 574, 312?

Answer: LCM of 121, 823, 574, 312 is 8917060152.

2. How to calculate the LCM of 121, 823, 574, 312?

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 121, 823, 574, 312.

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}.