Least Common Multiple of 34/85, 25/38, 22/76, 22/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/85, 25/38, 22/76, 22/133 quickly i.e. 9350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/85, 25/38, 22/76, 22/133 is 9350.

LCM(34/85, 25/38, 22/76, 22/133) = 9350

LCM of 34/85, 25/38, 22/76, 22/133

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 34/85,25/38,22/76,22/133

Given numbers are 34/85,25/38,22/76,22/133

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 34,25,22,22

Least Common Multiple of Numerators i.e. LCM of 34,25,22,22 is 9350.

GCF of Denominators means GCF of 85,38,76,133 as per the given fractions.

GCF of 85,38,76,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,25,22,22

LCM of Fractions 34/85,25/38,22/76,22/133 is 9350

2 34, 25, 22, 22
11 17, 25, 11, 11
17, 25, 1, 1

∴ So the LCM of the given numbers is 2 x 11 x 17 x 25 x 1 x 1 = 9350

Least Common Multiple of 34,25,22,22 with GCF Formula

Least Common Multiple of 34,25,22,22 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 34,25,22,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,25,22,22) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(34,25,22,22) x common factors =1 x 44 = 44

LCM(34,25,22,22) = ( 34 × 25 × 22 × 22 ) / 44

LCM(34,25,22,22) = 411400 / 44

LCM(34,25,22,22) = 9350


Lets's calculate GCF of 85,38,76,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9350/1

Therefore the LCM of Fractions 34/85,25/38,22/76,22/133 is 9350

Greatest Common Factor of 85,38,76,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,38,76,133 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 85,38,76,133 . The biggest common factor number is the GCF number.
So the greatest common factor 85,38,76,133 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 34/85, 25/38, 22/76, 22/133

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 34/85, 25/38, 22/76, 22/133?

Answer: LCM of Numerators as per given numbers 34/85, 25/38, 22/76, 22/133 is

LCM of Numerators i.e. for 34,25,22,22 is 9350

GCF of denominators i.e. for 85,38,76,133 is 1.

Thus, LCM of Fractions is 9350.Finally, LCM of Fractions for 34/85, 25/38, 22/76, 22/133 is 9350.