Least Common Multiple of 49/62, 85/60, 311/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/62, 85/60, 311/656 quickly i.e. 1295315/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/62, 85/60, 311/656 is 1295315/2.

LCM(49/62, 85/60, 311/656) = 1295315/2

LCM of 49/62, 85/60, 311/656

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 49/62,85/60,311/656

Given numbers are 49/62,85/60,311/656

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 49,85,311

Least Common Multiple of Numerators i.e. LCM of 49,85,311 is 1295315.

GCF of Denominators means GCF of 62,60,656 as per the given fractions.

GCF of 62,60,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,85,311

LCM of Fractions 49/62,85/60,311/656 is 1295315/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1295315

Least Common Multiple of 49,85,311 with GCF Formula

Least Common Multiple of 49,85,311 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 49,85,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,85,311) = 1

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

GCF(49,85,311) x common factors =1 x 1 = 1

LCM(49,85,311) = ( 49 × 85 × 311 ) / 1

LCM(49,85,311) = 1295315 / 1

LCM(49,85,311) = 1295315


Lets's calculate GCF of 62,60,656

2 62, 60, 656
31, 30, 328

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295315/2

Therefore the LCM of Fractions 49/62,85/60,311/656 is 1295315/2

Greatest Common Factor of 62,60,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,60,656 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 62,60,656 . The biggest common factor number is the GCF number.
So the greatest common factor 62,60,656 is 2.


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 49/62, 85/60, 311/656

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 49/62, 85/60, 311/656?

Answer: LCM of Numerators as per given numbers 49/62, 85/60, 311/656 is

LCM of Numerators i.e. for 49,85,311 is 1295315

GCF of denominators i.e. for 62,60,656 is 2.

Thus, LCM of Fractions is 1295315/2.Finally, LCM of Fractions for 49/62, 85/60, 311/656 is 1295315/2.