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LCM of 124, 713, 277, 276

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


Find the LCM of 124, 713, 277, 276 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 124, 713, 277, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 124,713,277,276

Given numbers are 124,713,277,276

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

The LCM of 124,713,277,276 is 2370012.

Find LCM of 124,713,277,276 with Prime Factorization


2 124, 713, 277, 276
2 62, 713, 277, 138
23 31, 713, 277, 69
31 31, 31, 277, 3
1, 1, 277, 3

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

2 x 2 x 23 x 31 x 1 x 1 x 277 x 3 = 2370012

Therefore, the lowest common multiple of 124,713,277,276 is 2370012.

LCM Formula to Find Lowest Common Multiple of 124,713,277,276

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.

124 x 713 x 277 x 276 = 6759274224

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.

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

713 : 1, 23, 31, 713

277 : 1, 277

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,713,277,276, is 1.

Now, the common factors can be found like this.

124:2x 2x 31

713:23x 31

277:277

276:2x 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 23x 31 = 2852

Therefore, the value for common factors is 2852.

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 = 6759274224/(1x2852)

LCM = 6759274224/2852

LCM = 2370012

Thus, we can understand that the LCM of 124,713,277,276 is 2370012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 124, 713, 277, 276

1. What is the LCM of 124, 713, 277, 276?

Answer: LCM of 124, 713, 277, 276 is 2370012.

2. How to calculate the LCM of 124, 713, 277, 276?

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 124, 713, 277, 276.

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}.