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LCM of 346, 937, 944, 627, 138

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


Find the LCM of 346, 937, 944, 627, 138 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 346, 937, 944, 627, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,937,944,627,138

Given numbers are 346,937,944,627,138

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

The LCM of 346,937,944,627,138 is 2206749643824.

Find LCM of 346,937,944,627,138 with Prime Factorization


2 346, 937, 944, 627, 138
3 173, 937, 472, 627, 69
173, 937, 472, 209, 23

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

2 x 3 x 173 x 937 x 472 x 209 x 23 = 2206749643824

Therefore, the lowest common multiple of 346,937,944,627,138 is 2206749643824.

LCM Formula to Find Lowest Common Multiple of 346,937,944,627,138

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.

346 x 937 x 944 x 627 x 138 = 26480995725888

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.

346 : 1, 2, 173, 346

937 : 1, 937

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

627 : 1, 3, 11, 19, 33, 57, 209, 627

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,937,944,627,138, is 1.

Now, the common factors can be found like this.

346:2x 173

937:937

944:2x 2x 2x 2x 59

627:3x 11x 19

138:2x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 26480995725888/(1x12)

LCM = 26480995725888/12

LCM = 2206749643824

Thus, we can understand that the LCM of 346,937,944,627,138 is 2206749643824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 937, 944, 627, 138

1. What is the LCM of 346, 937, 944, 627, 138?

Answer: LCM of 346, 937, 944, 627, 138 is 2206749643824.

2. How to calculate the LCM of 346, 937, 944, 627, 138?

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 346, 937, 944, 627, 138.

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}.