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LCM of 668, 612, 210, 983, 378

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


Find the LCM of 668, 612, 210, 983, 378 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, 612, 210, 983, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,612,210,983,378

Given numbers are 668,612,210,983,378

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

The LCM of 668,612,210,983,378 is 10548985860.

Find LCM of 668,612,210,983,378 with Prime Factorization


2 668, 612, 210, 983, 378
2 334, 306, 105, 983, 189
3 167, 153, 105, 983, 189
3 167, 51, 35, 983, 63
7 167, 17, 35, 983, 21
167, 17, 5, 983, 3

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

2 x 2 x 3 x 3 x 7 x 167 x 17 x 5 x 983 x 3 = 10548985860

Therefore, the lowest common multiple of 668,612,210,983,378 is 10548985860.

LCM Formula to Find Lowest Common Multiple of 668,612,210,983,378

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 612 x 210 x 983 x 378 = 31900133240640

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

983 : 1, 983

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,612,210,983,378, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

612:2x 2x 3x 3x 17

210:2x 3x 5x 7

983:983

378:2x 3x 3x 3x 7

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 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 31900133240640/(1x3024)

LCM = 31900133240640/3024

LCM = 10548985860

Thus, we can understand that the LCM of 668,612,210,983,378 is 10548985860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 612, 210, 983, 378

1. What is the LCM of 668, 612, 210, 983, 378?

Answer: LCM of 668, 612, 210, 983, 378 is 10548985860.

2. How to calculate the LCM of 668, 612, 210, 983, 378?

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, 612, 210, 983, 378.

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}.