Least Common Multiple of 49/31, 19/64, 16/47, 34/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/31, 19/64, 16/47, 34/194 quickly i.e. 253232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/31, 19/64, 16/47, 34/194 is 253232.

LCM(49/31, 19/64, 16/47, 34/194) = 253232

LCM of 49/31, 19/64, 16/47, 34/194

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 49/31,19/64,16/47,34/194

Given numbers are 49/31,19/64,16/47,34/194

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 49,19,16,34

Least Common Multiple of Numerators i.e. LCM of 49,19,16,34 is 253232.

GCF of Denominators means GCF of 31,64,47,194 as per the given fractions.

GCF of 31,64,47,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,19,16,34

LCM of Fractions 49/31,19/64,16/47,34/194 is 253232

2 49, 19, 16, 34
49, 19, 8, 17

∴ So the LCM of the given numbers is 2 x 49 x 19 x 8 x 17 = 253232

Least Common Multiple of 49,19,16,34 with GCF Formula

Least Common Multiple of 49,19,16,34 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 49,19,16,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,19,16,34) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,19,16,34) x common factors =1 x 2 = 2

LCM(49,19,16,34) = ( 49 × 19 × 16 × 34 ) / 2

LCM(49,19,16,34) = 506464 / 2

LCM(49,19,16,34) = 253232


Lets's calculate GCF of 31,64,47,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253232/1

Therefore the LCM of Fractions 49/31,19/64,16/47,34/194 is 253232

Greatest Common Factor of 31,64,47,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,64,47,194 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 31,64,47,194 . The biggest common factor number is the GCF number.
So the greatest common factor 31,64,47,194 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 49/31, 19/64, 16/47, 34/194

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 49/31, 19/64, 16/47, 34/194?

Answer: LCM of Numerators as per given numbers 49/31, 19/64, 16/47, 34/194 is

LCM of Numerators i.e. for 49,19,16,34 is 253232

GCF of denominators i.e. for 31,64,47,194 is 1.

Thus, LCM of Fractions is 253232.Finally, LCM of Fractions for 49/31, 19/64, 16/47, 34/194 is 253232.