Least Common Multiple of 52/14, 57/85, 57/70, 42/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/14, 57/85, 57/70, 42/429 quickly i.e. 20748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/14, 57/85, 57/70, 42/429 is 20748.

LCM(52/14, 57/85, 57/70, 42/429) = 20748

LCM of 52/14, 57/85, 57/70, 42/429

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 52/14,57/85,57/70,42/429

Given numbers are 52/14,57/85,57/70,42/429

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 52,57,57,42

Least Common Multiple of Numerators i.e. LCM of 52,57,57,42 is 20748.

GCF of Denominators means GCF of 14,85,70,429 as per the given fractions.

GCF of 14,85,70,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,57,57,42

LCM of Fractions 52/14,57/85,57/70,42/429 is 20748

2 52, 57, 57, 42
3 26, 57, 57, 21
19 26, 19, 19, 7
26, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 19 x 26 x 1 x 1 x 7 = 20748

Least Common Multiple of 52,57,57,42 with GCF Formula

Least Common Multiple of 52,57,57,42 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 52,57,57,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,57,57,42) = 1

common factors(in case of two or more numbers have common factors) = 342

GCF(52,57,57,42) x common factors =1 x 342 = 342

LCM(52,57,57,42) = ( 52 × 57 × 57 × 42 ) / 342

LCM(52,57,57,42) = 7095816 / 342

LCM(52,57,57,42) = 20748


Lets's calculate GCF of 14,85,70,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20748/1

Therefore the LCM of Fractions 52/14,57/85,57/70,42/429 is 20748

Greatest Common Factor of 14,85,70,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,85,70,429 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 85

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

1,5,17,85

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 14,85,70,429 . The biggest common factor number is the GCF number.
So the greatest common factor 14,85,70,429 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 52/14, 57/85, 57/70, 42/429

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 52/14, 57/85, 57/70, 42/429?

Answer: LCM of Numerators as per given numbers 52/14, 57/85, 57/70, 42/429 is

LCM of Numerators i.e. for 52,57,57,42 is 20748

GCF of denominators i.e. for 14,85,70,429 is 1.

Thus, LCM of Fractions is 20748.Finally, LCM of Fractions for 52/14, 57/85, 57/70, 42/429 is 20748.