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LCM of 101, 644, 285, 276

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


Find the LCM of 101, 644, 285, 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 101, 644, 285, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,644,285,276

Given numbers are 101,644,285,276

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

The LCM of 101,644,285,276 is 18537540.

Find LCM of 101,644,285,276 with Prime Factorization


2 101, 644, 285, 276
2 101, 322, 285, 138
3 101, 161, 285, 69
23 101, 161, 95, 23
101, 7, 95, 1

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

2 x 2 x 3 x 23 x 101 x 7 x 95 x 1 = 18537540

Therefore, the lowest common multiple of 101,644,285,276 is 18537540.

LCM Formula to Find Lowest Common Multiple of 101,644,285,276

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.

101 x 644 x 285 x 276 = 5116361040

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.

101 : 1, 101

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

285 : 1, 3, 5, 15, 19, 57, 95, 285

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 101,644,285,276, is 1.

Now, the common factors can be found like this.

101:101

644:2x 2x 7x 23

285:3x 5x 19

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 5116361040/(1x276)

LCM = 5116361040/276

LCM = 18537540

Thus, we can understand that the LCM of 101,644,285,276 is 18537540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 644, 285, 276

1. What is the LCM of 101, 644, 285, 276?

Answer: LCM of 101, 644, 285, 276 is 18537540.

2. How to calculate the LCM of 101, 644, 285, 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 101, 644, 285, 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}.