Least Common Multiple of 514/25, 140/1350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/25, 140/1350 quickly i.e. 35980/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/25, 140/1350 is 35980/25.

LCM(514/25, 140/1350) = 35980/25

LCM of 514/25, 140/1350

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 514/25,140/1350

Given numbers are 514/25,140/1350

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 514,140

Least Common Multiple of Numerators i.e. LCM of 514,140 is 35980.

GCF of Denominators means GCF of 25,1350 as per the given fractions.

GCF of 25,1350 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,140

LCM of Fractions 514/25,140/1350 is 35980/25

2 514, 140
257, 70

∴ So the LCM of the given numbers is 2 x 257 x 70 = 35980

Least Common Multiple of 514,140 with GCF Formula

Least Common Multiple of 514,140 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 514,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,140) = 2

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

GCF(514,140) x common factors =2 x 1 = 2

LCM(514,140) = ( 514 × 140 ) / 2

LCM(514,140) = 71960 / 2

LCM(514,140) = 35980


Lets's calculate GCF of 25,1350

5 25, 1350
5 5, 270
1, 54

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35980/25

Therefore the LCM of Fractions 514/25,140/1350 is 35980/25

Greatest Common Factor of 25,1350 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,1350 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Greatest Common Factor

We found the factors 25,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 25,1350 is 25.


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 514/25, 140/1350

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 514/25, 140/1350?

Answer: LCM of Numerators as per given numbers 514/25, 140/1350 is

LCM of Numerators i.e. for 514,140 is 35980

GCF of denominators i.e. for 25,1350 is 25.

Thus, LCM of Fractions is 35980/25.Finally, LCM of Fractions for 514/25, 140/1350 is 35980/25.