Least Common Multiple of 2088/270, 1769/7630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2088/270, 1769/7630 quickly i.e. 127368/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2088/270, 1769/7630 is 127368/10.

LCM(2088/270, 1769/7630) = 127368/10

LCM of 2088/270, 1769/7630

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 2088/270,1769/7630

Given numbers are 2088/270,1769/7630

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 2088,1769

Least Common Multiple of Numerators i.e. LCM of 2088,1769 is 127368.

GCF of Denominators means GCF of 270,7630 as per the given fractions.

GCF of 270,7630 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2088,1769

LCM of Fractions 2088/270,1769/7630 is 127368/10

29 2088, 1769
72, 61

∴ So the LCM of the given numbers is 29 x 72 x 61 = 127368

Least Common Multiple of 2088,1769 with GCF Formula

Least Common Multiple of 2088,1769 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 2088,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2088,1769) = 29

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

GCF(2088,1769) x common factors =29 x 1 = 29

LCM(2088,1769) = ( 2088 × 1769 ) / 29

LCM(2088,1769) = 3693672 / 29

LCM(2088,1769) = 127368


Lets's calculate GCF of 270,7630

2 270, 7630
5 135, 3815
27, 763

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127368/10

Therefore the LCM of Fractions 2088/270,1769/7630 is 127368/10

Greatest Common Factor of 270,7630 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,7630 By Matching Biggest Common Factor Method

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

Factors of 7630

List of positive integer factors of 7630 that divides 7630 without a remainder.

1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630

Greatest Common Factor

We found the factors 270,7630 . The biggest common factor number is the GCF number.
So the greatest common factor 270,7630 is 10.


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 2088/270, 1769/7630

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 2088/270, 1769/7630?

Answer: LCM of Numerators as per given numbers 2088/270, 1769/7630 is

LCM of Numerators i.e. for 2088,1769 is 127368

GCF of denominators i.e. for 270,7630 is 10.

Thus, LCM of Fractions is 127368/10.Finally, LCM of Fractions for 2088/270, 1769/7630 is 127368/10.