Least Common Multiple of 2711/42, 4280/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2711/42, 4280/690 quickly i.e. 11603080/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2711/42, 4280/690 is 11603080/6.

LCM(2711/42, 4280/690) = 11603080/6

LCM of 2711/42, 4280/690

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 2711/42,4280/690

Given numbers are 2711/42,4280/690

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 2711,4280

Least Common Multiple of Numerators i.e. LCM of 2711,4280 is 11603080.

GCF of Denominators means GCF of 42,690 as per the given fractions.

GCF of 42,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2711,4280

LCM of Fractions 2711/42,4280/690 is 11603080/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 11603080

Least Common Multiple of 2711,4280 with GCF Formula

Least Common Multiple of 2711,4280 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 2711,4280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2711,4280) = 1

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

GCF(2711,4280) x common factors =1 x 1 = 1

LCM(2711,4280) = ( 2711 × 4280 ) / 1

LCM(2711,4280) = 11603080 / 1

LCM(2711,4280) = 11603080


Lets's calculate GCF of 42,690

2 42, 690
3 21, 345
7, 115

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11603080/6

Therefore the LCM of Fractions 2711/42,4280/690 is 11603080/6

Greatest Common Factor of 42,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,690 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 42,690 . The biggest common factor number is the GCF number.
So the greatest common factor 42,690 is 6.


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 2711/42, 4280/690

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 2711/42, 4280/690?

Answer: LCM of Numerators as per given numbers 2711/42, 4280/690 is

LCM of Numerators i.e. for 2711,4280 is 11603080

GCF of denominators i.e. for 42,690 is 6.

Thus, LCM of Fractions is 11603080/6.Finally, LCM of Fractions for 2711/42, 4280/690 is 11603080/6.