Least Common Multiple of 2774/69, 1656/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2774/69, 1656/270 quickly i.e. 765624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2774/69, 1656/270 is 765624.

LCM(2774/69, 1656/270) = 765624

LCM of 2774/69, 1656/270

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 2774/69,1656/270

Given numbers are 2774/69,1656/270

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 2774,1656

Least Common Multiple of Numerators i.e. LCM of 2774,1656 is 2296872.

GCF of Denominators means GCF of 69,270 as per the given fractions.

GCF of 69,270 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2774,1656

LCM of Fractions 2774/69,1656/270 is 765624

2 2774, 1656
1387, 828

∴ So the LCM of the given numbers is 2 x 1387 x 828 = 2296872

Least Common Multiple of 2774,1656 with GCF Formula

Least Common Multiple of 2774,1656 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 2774,1656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2774,1656) = 2

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

GCF(2774,1656) x common factors =2 x 1 = 2

LCM(2774,1656) = ( 2774 × 1656 ) / 2

LCM(2774,1656) = 4593744 / 2

LCM(2774,1656) = 2296872


Lets's calculate GCF of 69,270

3 69, 270
23, 90

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2296872/3

Therefore the LCM of Fractions 2774/69,1656/270 is 765624

Greatest Common Factor of 69,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,270 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 69,270 . The biggest common factor number is the GCF number.
So the greatest common factor 69,270 is 3.


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 2774/69, 1656/270

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 2774/69, 1656/270?

Answer: LCM of Numerators as per given numbers 2774/69, 1656/270 is

LCM of Numerators i.e. for 2774,1656 is 2296872

GCF of denominators i.e. for 69,270 is 3.

Thus, LCM of Fractions is 765624.Finally, LCM of Fractions for 2774/69, 1656/270 is 765624.