Least Common Multiple of 49/67, 31/17, 85/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/67, 31/17, 85/688 quickly i.e. 129115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/67, 31/17, 85/688 is 129115.

LCM(49/67, 31/17, 85/688) = 129115

LCM of 49/67, 31/17, 85/688

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 49/67,31/17,85/688

Given numbers are 49/67,31/17,85/688

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 49,31,85

Least Common Multiple of Numerators i.e. LCM of 49,31,85 is 129115.

GCF of Denominators means GCF of 67,17,688 as per the given fractions.

GCF of 67,17,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,31,85

LCM of Fractions 49/67,31/17,85/688 is 129115

Given numbers has no common factors except 1. So, there LCM is their product i.e 129115

Least Common Multiple of 49,31,85 with GCF Formula

Least Common Multiple of 49,31,85 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 49,31,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,31,85) = 1

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

GCF(49,31,85) x common factors =1 x 1 = 1

LCM(49,31,85) = ( 49 × 31 × 85 ) / 1

LCM(49,31,85) = 129115 / 1

LCM(49,31,85) = 129115


Lets's calculate GCF of 67,17,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129115/1

Therefore the LCM of Fractions 49/67,31/17,85/688 is 129115

Greatest Common Factor of 67,17,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,17,688 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

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

Greatest Common Factor

We found the factors 67,17,688 . The biggest common factor number is the GCF number.
So the greatest common factor 67,17,688 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 49/67, 31/17, 85/688

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 49/67, 31/17, 85/688?

Answer: LCM of Numerators as per given numbers 49/67, 31/17, 85/688 is

LCM of Numerators i.e. for 49,31,85 is 129115

GCF of denominators i.e. for 67,17,688 is 1.

Thus, LCM of Fractions is 129115.Finally, LCM of Fractions for 49/67, 31/17, 85/688 is 129115.