Least Common Multiple of 717/70, 770/61, 571/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 717/70, 770/61, 571/565 quickly i.e. 315243390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 717/70, 770/61, 571/565 is 315243390.

LCM(717/70, 770/61, 571/565) = 315243390

LCM of 717/70, 770/61, 571/565

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 717/70,770/61,571/565

Given numbers are 717/70,770/61,571/565

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 717,770,571

Least Common Multiple of Numerators i.e. LCM of 717,770,571 is 315243390.

GCF of Denominators means GCF of 70,61,565 as per the given fractions.

GCF of 70,61,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 717,770,571

LCM of Fractions 717/70,770/61,571/565 is 315243390

Given numbers has no common factors except 1. So, there LCM is their product i.e 315243390

Least Common Multiple of 717,770,571 with GCF Formula

Least Common Multiple of 717,770,571 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 717,770,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,770,571) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(717,770,571) x common factors =1 x 1 = 1

LCM(717,770,571) = ( 717 × 770 × 571 ) / 1

LCM(717,770,571) = 315243390 / 1

LCM(717,770,571) = 315243390


Lets's calculate GCF of 70,61,565

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315243390/1

Therefore the LCM of Fractions 717/70,770/61,571/565 is 315243390

Greatest Common Factor of 70,61,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,61,565 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 70,61,565 . The biggest common factor number is the GCF number.
So the greatest common factor 70,61,565 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 717/70, 770/61, 571/565

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 717/70, 770/61, 571/565?

Answer: LCM of Numerators as per given numbers 717/70, 770/61, 571/565 is

LCM of Numerators i.e. for 717,770,571 is 315243390

GCF of denominators i.e. for 70,61,565 is 1.

Thus, LCM of Fractions is 315243390.Finally, LCM of Fractions for 717/70, 770/61, 571/565 is 315243390.