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LCM of 688, 521, 969, 978

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


Find the LCM of 688, 521, 969, 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 688, 521, 969, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,521,969,978

Given numbers are 688,521,969,978

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

The LCM of 688,521,969,978 is 56615786256.

Find LCM of 688,521,969,978 with Prime Factorization


2 688, 521, 969, 978
3 344, 521, 969, 489
344, 521, 323, 163

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

2 x 3 x 344 x 521 x 323 x 163 = 56615786256

Therefore, the lowest common multiple of 688,521,969,978 is 56615786256.

LCM Formula to Find Lowest Common Multiple of 688,521,969,978

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.

688 x 521 x 969 x 978 = 339694717536

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

521 : 1, 521

969 : 1, 3, 17, 19, 51, 57, 323, 969

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 688,521,969,978, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

521:521

969:3x 17x 19

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 3 = 6

Therefore, the value for common factors is 6.

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 = 339694717536/(1x6)

LCM = 339694717536/6

LCM = 56615786256

Thus, we can understand that the LCM of 688,521,969,978 is 56615786256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 521, 969, 978

1. What is the LCM of 688, 521, 969, 978?

Answer: LCM of 688, 521, 969, 978 is 56615786256.

2. How to calculate the LCM of 688, 521, 969, 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 688, 521, 969, 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}.