Least Common Multiple of 5427/689, 7070/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5427/689, 7070/286 quickly i.e. 38368890/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5427/689, 7070/286 is 38368890/13.

LCM(5427/689, 7070/286) = 38368890/13

LCM of 5427/689, 7070/286

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 5427/689,7070/286

Given numbers are 5427/689,7070/286

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 5427,7070

Least Common Multiple of Numerators i.e. LCM of 5427,7070 is 38368890.

GCF of Denominators means GCF of 689,286 as per the given fractions.

GCF of 689,286 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5427,7070

LCM of Fractions 5427/689,7070/286 is 38368890/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 38368890

Least Common Multiple of 5427,7070 with GCF Formula

Least Common Multiple of 5427,7070 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 5427,7070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5427,7070) = 1

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

GCF(5427,7070) x common factors =1 x 1 = 1

LCM(5427,7070) = ( 5427 × 7070 ) / 1

LCM(5427,7070) = 38368890 / 1

LCM(5427,7070) = 38368890


Lets's calculate GCF of 689,286

13 689, 286
53, 22

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38368890/13

Therefore the LCM of Fractions 5427/689,7070/286 is 38368890/13

Greatest Common Factor of 689,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,286 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 689,286 . The biggest common factor number is the GCF number.
So the greatest common factor 689,286 is 13.


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 5427/689, 7070/286

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 5427/689, 7070/286?

Answer: LCM of Numerators as per given numbers 5427/689, 7070/286 is

LCM of Numerators i.e. for 5427,7070 is 38368890

GCF of denominators i.e. for 689,286 is 13.

Thus, LCM of Fractions is 38368890/13.Finally, LCM of Fractions for 5427/689, 7070/286 is 38368890/13.