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LCM of 616, 635, 966, 954

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


Find the LCM of 616, 635, 966, 954 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 616, 635, 966, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,635,966,954

Given numbers are 616,635,966,954

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

The LCM of 616,635,966,954 is 4291416360.

Find LCM of 616,635,966,954 with Prime Factorization


2 616, 635, 966, 954
3 308, 635, 483, 477
7 308, 635, 161, 159
44, 635, 23, 159

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

2 x 3 x 7 x 44 x 635 x 23 x 159 = 4291416360

Therefore, the lowest common multiple of 616,635,966,954 is 4291416360.

LCM Formula to Find Lowest Common Multiple of 616,635,966,954

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.

616 x 635 x 966 x 954 = 360478974240

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

635 : 1, 5, 127, 635

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,635,966,954, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

635:5x 127

966:2x 3x 7x 23

954:2x 3x 3x 53

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 360478974240/(1x84)

LCM = 360478974240/84

LCM = 4291416360

Thus, we can understand that the LCM of 616,635,966,954 is 4291416360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 635, 966, 954

1. What is the LCM of 616, 635, 966, 954?

Answer: LCM of 616, 635, 966, 954 is 4291416360.

2. How to calculate the LCM of 616, 635, 966, 954?

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 616, 635, 966, 954.

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}.