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LCM of 984, 123, 610, 961

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


Find the LCM of 984, 123, 610, 961 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 984, 123, 610, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,123,610,961

Given numbers are 984,123,610,961

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

The LCM of 984,123,610,961 is 288415320.

Find LCM of 984,123,610,961 with Prime Factorization


2 984, 123, 610, 961
3 492, 123, 305, 961
41 164, 41, 305, 961
4, 1, 305, 961

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

2 x 3 x 41 x 4 x 1 x 305 x 961 = 288415320

Therefore, the lowest common multiple of 984,123,610,961 is 288415320.

LCM Formula to Find Lowest Common Multiple of 984,123,610,961

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.

984 x 123 x 610 x 961 = 70950168720

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

123 : 1, 3, 41, 123

610 : 1, 2, 5, 10, 61, 122, 305, 610

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,123,610,961, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

123:3x 41

610:2x 5x 61

961:31x 31

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 41 = 246

Therefore, the value for common factors is 246.

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 = 70950168720/(1x246)

LCM = 70950168720/246

LCM = 288415320

Thus, we can understand that the LCM of 984,123,610,961 is 288415320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 123, 610, 961

1. What is the LCM of 984, 123, 610, 961?

Answer: LCM of 984, 123, 610, 961 is 288415320.

2. How to calculate the LCM of 984, 123, 610, 961?

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 984, 123, 610, 961.

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}.