Least Common Multiple of 27/700, 19/942, 403/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/700, 19/942, 403/530 quickly i.e. 206739/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/700, 19/942, 403/530 is 206739/2.

LCM(27/700, 19/942, 403/530) = 206739/2

LCM of 27/700, 19/942, 403/530

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 27/700,19/942,403/530

Given numbers are 27/700,19/942,403/530

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 27,19,403

Least Common Multiple of Numerators i.e. LCM of 27,19,403 is 206739.

GCF of Denominators means GCF of 700,942,530 as per the given fractions.

GCF of 700,942,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,19,403

LCM of Fractions 27/700,19/942,403/530 is 206739/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 206739

Least Common Multiple of 27,19,403 with GCF Formula

Least Common Multiple of 27,19,403 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 27,19,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,19,403) = 1

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

GCF(27,19,403) x common factors =1 x 1 = 1

LCM(27,19,403) = ( 27 × 19 × 403 ) / 1

LCM(27,19,403) = 206739 / 1

LCM(27,19,403) = 206739


Lets's calculate GCF of 700,942,530

2 700, 942, 530
350, 471, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206739/2

Therefore the LCM of Fractions 27/700,19/942,403/530 is 206739/2

Greatest Common Factor of 700,942,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,942,530 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 700,942,530 . The biggest common factor number is the GCF number.
So the greatest common factor 700,942,530 is 2.


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 27/700, 19/942, 403/530

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 27/700, 19/942, 403/530?

Answer: LCM of Numerators as per given numbers 27/700, 19/942, 403/530 is

LCM of Numerators i.e. for 27,19,403 is 206739

GCF of denominators i.e. for 700,942,530 is 2.

Thus, LCM of Fractions is 206739/2.Finally, LCM of Fractions for 27/700, 19/942, 403/530 is 206739/2.