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LCM of 466, 102, 702, 932, 954

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


Find the LCM of 466, 102, 702, 932, 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 466, 102, 702, 932, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,102,702,932,954

Given numbers are 466,102,702,932,954

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

The LCM of 466,102,702,932,954 is 294745932.

Find LCM of 466,102,702,932,954 with Prime Factorization


2 466, 102, 702, 932, 954
3 233, 51, 351, 466, 477
3 233, 17, 117, 466, 159
233 233, 17, 39, 466, 53
1, 17, 39, 2, 53

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

2 x 3 x 3 x 233 x 1 x 17 x 39 x 2 x 53 = 294745932

Therefore, the lowest common multiple of 466,102,702,932,954 is 294745932.

LCM Formula to Find Lowest Common Multiple of 466,102,702,932,954

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.

466 x 102 x 702 x 932 x 954 = 29667946531392

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.

466 : 1, 2, 233, 466

102 : 1, 2, 3, 6, 17, 34, 51, 102

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

932 : 1, 2, 4, 233, 466, 932

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,102,702,932,954, is 2.

Now, the common factors can be found like this.

466:2x 233

102:2x 3x 17

702:2x 3x 3x 3x 13

932:2x 2x 233

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 2x 3x 3x 3x 233 = 50328

Therefore, the value for common factors is 50328.

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 = 29667946531392/(2x50328)

LCM = 29667946531392/100656

LCM = 294745932

Thus, we can understand that the LCM of 466,102,702,932,954 is 294745932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 102, 702, 932, 954

1. What is the LCM of 466, 102, 702, 932, 954?

Answer: LCM of 466, 102, 702, 932, 954 is 294745932.

2. How to calculate the LCM of 466, 102, 702, 932, 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 466, 102, 702, 932, 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}.