Least Common Multiple of 314/110, 534/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/110, 534/156 quickly i.e. 41919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/110, 534/156 is 41919.

LCM(314/110, 534/156) = 41919

LCM of 314/110, 534/156

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 314/110,534/156

Given numbers are 314/110,534/156

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 314,534

Least Common Multiple of Numerators i.e. LCM of 314,534 is 83838.

GCF of Denominators means GCF of 110,156 as per the given fractions.

GCF of 110,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,534

LCM of Fractions 314/110,534/156 is 41919

2 314, 534
157, 267

∴ So the LCM of the given numbers is 2 x 157 x 267 = 83838

Least Common Multiple of 314,534 with GCF Formula

Least Common Multiple of 314,534 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 314,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,534) = 2

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

GCF(314,534) x common factors =2 x 1 = 2

LCM(314,534) = ( 314 × 534 ) / 2

LCM(314,534) = 167676 / 2

LCM(314,534) = 83838


Lets's calculate GCF of 110,156

2 110, 156
55, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83838/2

Therefore the LCM of Fractions 314/110,534/156 is 41919

Greatest Common Factor of 110,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,156 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 110,156 . The biggest common factor number is the GCF number.
So the greatest common factor 110,156 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 314/110, 534/156

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 314/110, 534/156?

Answer: LCM of Numerators as per given numbers 314/110, 534/156 is

LCM of Numerators i.e. for 314,534 is 83838

GCF of denominators i.e. for 110,156 is 2.

Thus, LCM of Fractions is 41919.Finally, LCM of Fractions for 314/110, 534/156 is 41919.