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LCM of 141, 517, 112, 248

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


Find the LCM of 141, 517, 112, 248 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 141, 517, 112, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,517,112,248

Given numbers are 141,517,112,248

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

The LCM of 141,517,112,248 is 5385072.

Find LCM of 141,517,112,248 with Prime Factorization


2 141, 517, 112, 248
2 141, 517, 56, 124
2 141, 517, 28, 62
47 141, 517, 14, 31
3, 11, 14, 31

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

2 x 2 x 2 x 47 x 3 x 11 x 14 x 31 = 5385072

Therefore, the lowest common multiple of 141,517,112,248 is 5385072.

LCM Formula to Find Lowest Common Multiple of 141,517,112,248

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.

141 x 517 x 112 x 248 = 2024787072

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.

141 : 1, 3, 47, 141

517 : 1, 11, 47, 517

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,517,112,248, is 1.

Now, the common factors can be found like this.

141:3x 47

517:11x 47

112:2x 2x 2x 2x 7

248:2x 2x 2x 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 2x 2x 47 = 376

Therefore, the value for common factors is 376.

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 = 2024787072/(1x376)

LCM = 2024787072/376

LCM = 5385072

Thus, we can understand that the LCM of 141,517,112,248 is 5385072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 517, 112, 248

1. What is the LCM of 141, 517, 112, 248?

Answer: LCM of 141, 517, 112, 248 is 5385072.

2. How to calculate the LCM of 141, 517, 112, 248?

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 141, 517, 112, 248.

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}.