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LCM of 652, 582, 446, 869, 978

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


Find the LCM of 652, 582, 446, 869, 978 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 652, 582, 446, 869, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,582,446,869,978

Given numbers are 652,582,446,869,978

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

The LCM of 652,582,446,869,978 is 36767595084.

Find LCM of 652,582,446,869,978 with Prime Factorization


2 652, 582, 446, 869, 978
3 326, 291, 223, 869, 489
163 326, 97, 223, 869, 163
2, 97, 223, 869, 1

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

2 x 3 x 163 x 2 x 97 x 223 x 869 x 1 = 36767595084

Therefore, the lowest common multiple of 652,582,446,869,978 is 36767595084.

LCM Formula to Find Lowest Common Multiple of 652,582,446,869,978

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.

652 x 582 x 446 x 869 x 978 = 143834831968608

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.

652 : 1, 2, 4, 163, 326, 652

582 : 1, 2, 3, 6, 97, 194, 291, 582

446 : 1, 2, 223, 446

869 : 1, 11, 79, 869

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,582,446,869,978, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

582:2x 3x 97

446:2x 223

869:11x 79

978:2x 3x 163

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 3x 163 = 3912

Therefore, the value for common factors is 3912.

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 = 143834831968608/(1x3912)

LCM = 143834831968608/3912

LCM = 36767595084

Thus, we can understand that the LCM of 652,582,446,869,978 is 36767595084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 582, 446, 869, 978

1. What is the LCM of 652, 582, 446, 869, 978?

Answer: LCM of 652, 582, 446, 869, 978 is 36767595084.

2. How to calculate the LCM of 652, 582, 446, 869, 978?

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 652, 582, 446, 869, 978.

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}.