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LCM of 668, 920, 248, 981

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


Find the LCM of 668, 920, 248, 981 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 668, 920, 248, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,920,248,981

Given numbers are 668,920,248,981

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

The LCM of 668,920,248,981 is 4672346040.

Find LCM of 668,920,248,981 with Prime Factorization


2 668, 920, 248, 981
2 334, 460, 124, 981
2 167, 230, 62, 981
167, 115, 31, 981

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

2 x 2 x 2 x 167 x 115 x 31 x 981 = 4672346040

Therefore, the lowest common multiple of 668,920,248,981 is 4672346040.

LCM Formula to Find Lowest Common Multiple of 668,920,248,981

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.

668 x 920 x 248 x 981 = 149515073280

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.

668 : 1, 2, 4, 167, 334, 668

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,920,248,981, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

920:2x 2x 2x 5x 23

248:2x 2x 2x 31

981:3x 3x 109

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 2 = 32

Therefore, the value for common factors is 32.

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 = 149515073280/(1x32)

LCM = 149515073280/32

LCM = 4672346040

Thus, we can understand that the LCM of 668,920,248,981 is 4672346040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 920, 248, 981

1. What is the LCM of 668, 920, 248, 981?

Answer: LCM of 668, 920, 248, 981 is 4672346040.

2. How to calculate the LCM of 668, 920, 248, 981?

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 668, 920, 248, 981.

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}.