Least Common Multiple of 334/78, 4074/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 334/78, 4074/949 quickly i.e. 680358/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/78, 4074/949 is 680358/13.

LCM(334/78, 4074/949) = 680358/13

LCM of 334/78, 4074/949

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 334/78,4074/949

Given numbers are 334/78,4074/949

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 334,4074

Least Common Multiple of Numerators i.e. LCM of 334,4074 is 680358.

GCF of Denominators means GCF of 78,949 as per the given fractions.

GCF of 78,949 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,4074

LCM of Fractions 334/78,4074/949 is 680358/13

2 334, 4074
167, 2037

∴ So the LCM of the given numbers is 2 x 167 x 2037 = 680358

Least Common Multiple of 334,4074 with GCF Formula

Least Common Multiple of 334,4074 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 334,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,4074) = 2

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

GCF(334,4074) x common factors =2 x 1 = 2

LCM(334,4074) = ( 334 × 4074 ) / 2

LCM(334,4074) = 1360716 / 2

LCM(334,4074) = 680358


Lets's calculate GCF of 78,949

13 78, 949
6, 73

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680358/13

Therefore the LCM of Fractions 334/78,4074/949 is 680358/13

Greatest Common Factor of 78,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,949 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 78,949 . The biggest common factor number is the GCF number.
So the greatest common factor 78,949 is 13.


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 334/78, 4074/949

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 334/78, 4074/949?

Answer: LCM of Numerators as per given numbers 334/78, 4074/949 is

LCM of Numerators i.e. for 334,4074 is 680358

GCF of denominators i.e. for 78,949 is 13.

Thus, LCM of Fractions is 680358/13.Finally, LCM of Fractions for 334/78, 4074/949 is 680358/13.