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LCM of 240, 129, 998, 248, 679

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


Find the LCM of 240, 129, 998, 248, 679 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 240, 129, 998, 248, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 240,129,998,248,679

Given numbers are 240,129,998,248,679

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

The LCM of 240,129,998,248,679 is 108395614320.

Find LCM of 240,129,998,248,679 with Prime Factorization


2 240, 129, 998, 248, 679
2 120, 129, 499, 124, 679
2 60, 129, 499, 62, 679
3 30, 129, 499, 31, 679
10, 43, 499, 31, 679

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

2 x 2 x 2 x 3 x 10 x 43 x 499 x 31 x 679 = 108395614320

Therefore, the lowest common multiple of 240,129,998,248,679 is 108395614320.

LCM Formula to Find Lowest Common Multiple of 240,129,998,248,679

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.

240 x 129 x 998 x 248 x 679 = 5202989487360

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

129 : 1, 3, 43, 129

998 : 1, 2, 499, 998

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

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,129,998,248,679, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

129:3x 43

998:2x 499

248:2x 2x 2x 31

679:7x 97

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 5202989487360/(1x48)

LCM = 5202989487360/48

LCM = 108395614320

Thus, we can understand that the LCM of 240,129,998,248,679 is 108395614320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 240, 129, 998, 248, 679

1. What is the LCM of 240, 129, 998, 248, 679?

Answer: LCM of 240, 129, 998, 248, 679 is 108395614320.

2. How to calculate the LCM of 240, 129, 998, 248, 679?

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 240, 129, 998, 248, 679.

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}.