Least Common Multiple of 57/428, 85/100, 229/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/428, 85/100, 229/948 quickly i.e. 1109505/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/428, 85/100, 229/948 is 1109505/4.

LCM(57/428, 85/100, 229/948) = 1109505/4

LCM of 57/428, 85/100, 229/948

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 57/428,85/100,229/948

Given numbers are 57/428,85/100,229/948

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 57,85,229

Least Common Multiple of Numerators i.e. LCM of 57,85,229 is 1109505.

GCF of Denominators means GCF of 428,100,948 as per the given fractions.

GCF of 428,100,948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,85,229

LCM of Fractions 57/428,85/100,229/948 is 1109505/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1109505

Least Common Multiple of 57,85,229 with GCF Formula

Least Common Multiple of 57,85,229 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 57,85,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,85,229) = 1

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

GCF(57,85,229) x common factors =1 x 1 = 1

LCM(57,85,229) = ( 57 × 85 × 229 ) / 1

LCM(57,85,229) = 1109505 / 1

LCM(57,85,229) = 1109505


Lets's calculate GCF of 428,100,948

2 428, 100, 948
2 214, 50, 474
107, 25, 237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1109505/4

Therefore the LCM of Fractions 57/428,85/100,229/948 is 1109505/4

Greatest Common Factor of 428,100,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,100,948 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 428,100,948 . The biggest common factor number is the GCF number.
So the greatest common factor 428,100,948 is 4.


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 57/428, 85/100, 229/948

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 57/428, 85/100, 229/948?

Answer: LCM of Numerators as per given numbers 57/428, 85/100, 229/948 is

LCM of Numerators i.e. for 57,85,229 is 1109505

GCF of denominators i.e. for 428,100,948 is 4.

Thus, LCM of Fractions is 1109505/4.Finally, LCM of Fractions for 57/428, 85/100, 229/948 is 1109505/4.