Least Common Multiple of 349/14, 1674/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/14, 1674/472 quickly i.e. 292113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/14, 1674/472 is 292113.

LCM(349/14, 1674/472) = 292113

LCM of 349/14, 1674/472

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 349/14,1674/472

Given numbers are 349/14,1674/472

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 349,1674

Least Common Multiple of Numerators i.e. LCM of 349,1674 is 584226.

GCF of Denominators means GCF of 14,472 as per the given fractions.

GCF of 14,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,1674

LCM of Fractions 349/14,1674/472 is 292113

Given numbers has no common factors except 1. So, there LCM is their product i.e 584226

Least Common Multiple of 349,1674 with GCF Formula

Least Common Multiple of 349,1674 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 349,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,1674) = 1

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

GCF(349,1674) x common factors =1 x 1 = 1

LCM(349,1674) = ( 349 × 1674 ) / 1

LCM(349,1674) = 584226 / 1

LCM(349,1674) = 584226


Lets's calculate GCF of 14,472

2 14, 472
7, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 584226/2

Therefore the LCM of Fractions 349/14,1674/472 is 292113

Greatest Common Factor of 14,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,472 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 14,472 . The biggest common factor number is the GCF number.
So the greatest common factor 14,472 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 349/14, 1674/472

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 349/14, 1674/472?

Answer: LCM of Numerators as per given numbers 349/14, 1674/472 is

LCM of Numerators i.e. for 349,1674 is 584226

GCF of denominators i.e. for 14,472 is 2.

Thus, LCM of Fractions is 292113.Finally, LCM of Fractions for 349/14, 1674/472 is 292113.