Least Common Multiple of 14/266, 2500/1755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/266, 2500/1755 quickly i.e. 17500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/266, 2500/1755 is 17500.

LCM(14/266, 2500/1755) = 17500

LCM of 14/266, 2500/1755

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 14/266,2500/1755

Given numbers are 14/266,2500/1755

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 14,2500

Least Common Multiple of Numerators i.e. LCM of 14,2500 is 17500.

GCF of Denominators means GCF of 266,1755 as per the given fractions.

GCF of 266,1755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,2500

LCM of Fractions 14/266,2500/1755 is 17500

2 14, 2500
7, 1250

∴ So the LCM of the given numbers is 2 x 7 x 1250 = 17500

Least Common Multiple of 14,2500 with GCF Formula

Least Common Multiple of 14,2500 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 14,2500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,2500) = 2

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

GCF(14,2500) x common factors =2 x 1 = 2

LCM(14,2500) = ( 14 × 2500 ) / 2

LCM(14,2500) = 35000 / 2

LCM(14,2500) = 17500


Lets's calculate GCF of 266,1755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17500/1

Therefore the LCM of Fractions 14/266,2500/1755 is 17500

Greatest Common Factor of 266,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,1755 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 266,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 266,1755 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 14/266, 2500/1755

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 14/266, 2500/1755?

Answer: LCM of Numerators as per given numbers 14/266, 2500/1755 is

LCM of Numerators i.e. for 14,2500 is 17500

GCF of denominators i.e. for 266,1755 is 1.

Thus, LCM of Fractions is 17500.Finally, LCM of Fractions for 14/266, 2500/1755 is 17500.