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LCM of 978, 598, 577, 757

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


Find the LCM of 978, 598, 577, 757 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 978, 598, 577, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,598,577,757

Given numbers are 978,598,577,757

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

The LCM of 978,598,577,757 is 127726712958.

Find LCM of 978,598,577,757 with Prime Factorization


2 978, 598, 577, 757
489, 299, 577, 757

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

2 x 489 x 299 x 577 x 757 = 127726712958

Therefore, the lowest common multiple of 978,598,577,757 is 127726712958.

LCM Formula to Find Lowest Common Multiple of 978,598,577,757

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.

978 x 598 x 577 x 757 = 255453425916

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.

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

577 : 1, 577

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,598,577,757, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

598:2x 13x 23

577:577

757:757

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 255453425916/(1x2)

LCM = 255453425916/2

LCM = 127726712958

Thus, we can understand that the LCM of 978,598,577,757 is 127726712958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 598, 577, 757

1. What is the LCM of 978, 598, 577, 757?

Answer: LCM of 978, 598, 577, 757 is 127726712958.

2. How to calculate the LCM of 978, 598, 577, 757?

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 978, 598, 577, 757.

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}.