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LCM of 547, 376, 142, 142

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


Find the LCM of 547, 376, 142, 142 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 547, 376, 142, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,376,142,142

Given numbers are 547,376,142,142

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

The LCM of 547,376,142,142 is 14602712.

Find LCM of 547,376,142,142 with Prime Factorization


2 547, 376, 142, 142
71 547, 188, 71, 71
547, 188, 1, 1

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

2 x 71 x 547 x 188 x 1 x 1 = 14602712

Therefore, the lowest common multiple of 547,376,142,142 is 14602712.

LCM Formula to Find Lowest Common Multiple of 547,376,142,142

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.

547 x 376 x 142 x 142 = 4147170208

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.

547 : 1, 547

376 : 1, 2, 4, 8, 47, 94, 188, 376

142 : 1, 2, 71, 142

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,376,142,142, is 1.

Now, the common factors can be found like this.

547:547

376:2x 2x 2x 47

142:2x 71

142:2x 71

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 71 = 284

Therefore, the value for common factors is 284.

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 = 4147170208/(1x284)

LCM = 4147170208/284

LCM = 14602712

Thus, we can understand that the LCM of 547,376,142,142 is 14602712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 376, 142, 142

1. What is the LCM of 547, 376, 142, 142?

Answer: LCM of 547, 376, 142, 142 is 14602712.

2. How to calculate the LCM of 547, 376, 142, 142?

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 547, 376, 142, 142.

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}.