Least Common Multiple of 174/57, 4678/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/57, 4678/310 quickly i.e. 406986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/57, 4678/310 is 406986.

LCM(174/57, 4678/310) = 406986

LCM of 174/57, 4678/310

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 174/57,4678/310

Given numbers are 174/57,4678/310

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 174,4678

Least Common Multiple of Numerators i.e. LCM of 174,4678 is 406986.

GCF of Denominators means GCF of 57,310 as per the given fractions.

GCF of 57,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,4678

LCM of Fractions 174/57,4678/310 is 406986

2 174, 4678
87, 2339

∴ So the LCM of the given numbers is 2 x 87 x 2339 = 406986

Least Common Multiple of 174,4678 with GCF Formula

Least Common Multiple of 174,4678 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 174,4678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,4678) = 2

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

GCF(174,4678) x common factors =2 x 1 = 2

LCM(174,4678) = ( 174 × 4678 ) / 2

LCM(174,4678) = 813972 / 2

LCM(174,4678) = 406986


Lets's calculate GCF of 57,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406986/1

Therefore the LCM of Fractions 174/57,4678/310 is 406986

Greatest Common Factor of 57,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,310 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 57,310 . The biggest common factor number is the GCF number.
So the greatest common factor 57,310 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 174/57, 4678/310

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 174/57, 4678/310?

Answer: LCM of Numerators as per given numbers 174/57, 4678/310 is

LCM of Numerators i.e. for 174,4678 is 406986

GCF of denominators i.e. for 57,310 is 1.

Thus, LCM of Fractions is 406986.Finally, LCM of Fractions for 174/57, 4678/310 is 406986.