Least Common Multiple of 41/76, 34/954, 548/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/76, 34/954, 548/145 quickly i.e. 381956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/76, 34/954, 548/145 is 381956.

LCM(41/76, 34/954, 548/145) = 381956

LCM of 41/76, 34/954, 548/145

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 41/76,34/954,548/145

Given numbers are 41/76,34/954,548/145

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 41,34,548

Least Common Multiple of Numerators i.e. LCM of 41,34,548 is 381956.

GCF of Denominators means GCF of 76,954,145 as per the given fractions.

GCF of 76,954,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,34,548

LCM of Fractions 41/76,34/954,548/145 is 381956

2 41, 34, 548
41, 17, 274

∴ So the LCM of the given numbers is 2 x 41 x 17 x 274 = 381956

Least Common Multiple of 41,34,548 with GCF Formula

Least Common Multiple of 41,34,548 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 41,34,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,34,548) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,34,548) x common factors =1 x 2 = 2

LCM(41,34,548) = ( 41 × 34 × 548 ) / 2

LCM(41,34,548) = 763912 / 2

LCM(41,34,548) = 381956


Lets's calculate GCF of 76,954,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381956/1

Therefore the LCM of Fractions 41/76,34/954,548/145 is 381956

Greatest Common Factor of 76,954,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,954,145 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 76,954,145 . The biggest common factor number is the GCF number.
So the greatest common factor 76,954,145 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 41/76, 34/954, 548/145

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 41/76, 34/954, 548/145?

Answer: LCM of Numerators as per given numbers 41/76, 34/954, 548/145 is

LCM of Numerators i.e. for 41,34,548 is 381956

GCF of denominators i.e. for 76,954,145 is 1.

Thus, LCM of Fractions is 381956.Finally, LCM of Fractions for 41/76, 34/954, 548/145 is 381956.