Least Common Multiple of 69/77, 25/83, 60/13, 48/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/77, 25/83, 60/13, 48/485 quickly i.e. 27600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/77, 25/83, 60/13, 48/485 is 27600.

LCM(69/77, 25/83, 60/13, 48/485) = 27600

LCM of 69/77, 25/83, 60/13, 48/485

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 69/77,25/83,60/13,48/485

Given numbers are 69/77,25/83,60/13,48/485

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 69,25,60,48

Least Common Multiple of Numerators i.e. LCM of 69,25,60,48 is 27600.

GCF of Denominators means GCF of 77,83,13,485 as per the given fractions.

GCF of 77,83,13,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,25,60,48

LCM of Fractions 69/77,25/83,60/13,48/485 is 27600

2 69, 25, 60, 48
2 69, 25, 30, 24
3 69, 25, 15, 12
5 23, 25, 5, 4
23, 1, 5, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 1 x 5 x 4 = 27600

Least Common Multiple of 69,25,60,48 with GCF Formula

Least Common Multiple of 69,25,60,48 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 69,25,60,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,25,60,48) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(69,25,60,48) x common factors =1 x 180 = 180

LCM(69,25,60,48) = ( 69 × 25 × 60 × 48 ) / 180

LCM(69,25,60,48) = 4968000 / 180

LCM(69,25,60,48) = 27600


Lets's calculate GCF of 77,83,13,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27600/1

Therefore the LCM of Fractions 69/77,25/83,60/13,48/485 is 27600

Greatest Common Factor of 77,83,13,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,83,13,485 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 77,83,13,485 . The biggest common factor number is the GCF number.
So the greatest common factor 77,83,13,485 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 69/77, 25/83, 60/13, 48/485

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 69/77, 25/83, 60/13, 48/485?

Answer: LCM of Numerators as per given numbers 69/77, 25/83, 60/13, 48/485 is

LCM of Numerators i.e. for 69,25,60,48 is 27600

GCF of denominators i.e. for 77,83,13,485 is 1.

Thus, LCM of Fractions is 27600.Finally, LCM of Fractions for 69/77, 25/83, 60/13, 48/485 is 27600.