Least Common Multiple of 1646/88, 3990/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1646/88, 3990/275 quickly i.e. 3283770/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1646/88, 3990/275 is 3283770/11.

LCM(1646/88, 3990/275) = 3283770/11

LCM of 1646/88, 3990/275

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 1646/88,3990/275

Given numbers are 1646/88,3990/275

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 1646,3990

Least Common Multiple of Numerators i.e. LCM of 1646,3990 is 3283770.

GCF of Denominators means GCF of 88,275 as per the given fractions.

GCF of 88,275 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1646,3990

LCM of Fractions 1646/88,3990/275 is 3283770/11

2 1646, 3990
823, 1995

∴ So the LCM of the given numbers is 2 x 823 x 1995 = 3283770

Least Common Multiple of 1646,3990 with GCF Formula

Least Common Multiple of 1646,3990 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 1646,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1646,3990) = 2

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

GCF(1646,3990) x common factors =2 x 1 = 2

LCM(1646,3990) = ( 1646 × 3990 ) / 2

LCM(1646,3990) = 6567540 / 2

LCM(1646,3990) = 3283770


Lets's calculate GCF of 88,275

11 88, 275
8, 25

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3283770/11

Therefore the LCM of Fractions 1646/88,3990/275 is 3283770/11

Greatest Common Factor of 88,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,275 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 88,275 . The biggest common factor number is the GCF number.
So the greatest common factor 88,275 is 11.


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 1646/88, 3990/275

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 1646/88, 3990/275?

Answer: LCM of Numerators as per given numbers 1646/88, 3990/275 is

LCM of Numerators i.e. for 1646,3990 is 3283770

GCF of denominators i.e. for 88,275 is 11.

Thus, LCM of Fractions is 3283770/11.Finally, LCM of Fractions for 1646/88, 3990/275 is 3283770/11.