Least Common Multiple of 11/760, 218/709, 275/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/760, 218/709, 275/380 quickly i.e. 59950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/760, 218/709, 275/380 is 59950.

LCM(11/760, 218/709, 275/380) = 59950

LCM of 11/760, 218/709, 275/380

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 11/760,218/709,275/380

Given numbers are 11/760,218/709,275/380

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 11,218,275

Least Common Multiple of Numerators i.e. LCM of 11,218,275 is 59950.

GCF of Denominators means GCF of 760,709,380 as per the given fractions.

GCF of 760,709,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,218,275

LCM of Fractions 11/760,218/709,275/380 is 59950

11 11, 218, 275
1, 218, 25

∴ So the LCM of the given numbers is 11 x 1 x 218 x 25 = 59950

Least Common Multiple of 11,218,275 with GCF Formula

Least Common Multiple of 11,218,275 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 11,218,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,218,275) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(11,218,275) x common factors =1 x 11 = 11

LCM(11,218,275) = ( 11 × 218 × 275 ) / 11

LCM(11,218,275) = 659450 / 11

LCM(11,218,275) = 59950


Lets's calculate GCF of 760,709,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59950/1

Therefore the LCM of Fractions 11/760,218/709,275/380 is 59950

Greatest Common Factor of 760,709,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,709,380 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 760,709,380 . The biggest common factor number is the GCF number.
So the greatest common factor 760,709,380 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 11/760, 218/709, 275/380

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 11/760, 218/709, 275/380?

Answer: LCM of Numerators as per given numbers 11/760, 218/709, 275/380 is

LCM of Numerators i.e. for 11,218,275 is 59950

GCF of denominators i.e. for 760,709,380 is 1.

Thus, LCM of Fractions is 59950.Finally, LCM of Fractions for 11/760, 218/709, 275/380 is 59950.