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LCM of 424, 726, 578, 978

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


Find the LCM of 424, 726, 578, 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 424, 726, 578, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,726,578,978

Given numbers are 424,726,578,978

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

The LCM of 424,726,578,978 is 7250332584.

Find LCM of 424,726,578,978 with Prime Factorization


2 424, 726, 578, 978
3 212, 363, 289, 489
212, 121, 289, 163

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

2 x 3 x 212 x 121 x 289 x 163 = 7250332584

Therefore, the lowest common multiple of 424,726,578,978 is 7250332584.

LCM Formula to Find Lowest Common Multiple of 424,726,578,978

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.

424 x 726 x 578 x 978 = 174007982016

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

578 : 1, 2, 17, 34, 289, 578

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,726,578,978, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

726:2x 3x 11x 11

578:2x 17x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 174007982016/(2x12)

LCM = 174007982016/24

LCM = 7250332584

Thus, we can understand that the LCM of 424,726,578,978 is 7250332584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 726, 578, 978

1. What is the LCM of 424, 726, 578, 978?

Answer: LCM of 424, 726, 578, 978 is 7250332584.

2. How to calculate the LCM of 424, 726, 578, 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 424, 726, 578, 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}.