Least Common Multiple of 1027/829, 4966/7055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1027/829, 4966/7055 quickly i.e. 392314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1027/829, 4966/7055 is 392314.

LCM(1027/829, 4966/7055) = 392314

LCM of 1027/829, 4966/7055

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 1027/829,4966/7055

Given numbers are 1027/829,4966/7055

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 1027,4966

Least Common Multiple of Numerators i.e. LCM of 1027,4966 is 392314.

GCF of Denominators means GCF of 829,7055 as per the given fractions.

GCF of 829,7055 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1027,4966

LCM of Fractions 1027/829,4966/7055 is 392314

13 1027, 4966
79, 382

∴ So the LCM of the given numbers is 13 x 79 x 382 = 392314

Least Common Multiple of 1027,4966 with GCF Formula

Least Common Multiple of 1027,4966 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 1027,4966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1027,4966) = 13

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

GCF(1027,4966) x common factors =13 x 1 = 13

LCM(1027,4966) = ( 1027 × 4966 ) / 13

LCM(1027,4966) = 5100082 / 13

LCM(1027,4966) = 392314


Lets's calculate GCF of 829,7055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392314/1

Therefore the LCM of Fractions 1027/829,4966/7055 is 392314

Greatest Common Factor of 829,7055 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,7055 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 7055

List of positive integer factors of 7055 that divides 7055 without a remainder.

1,5,17,83,85,415,1411,7055

Greatest Common Factor

We found the factors 829,7055 . The biggest common factor number is the GCF number.
So the greatest common factor 829,7055 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 1027/829, 4966/7055

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 1027/829, 4966/7055?

Answer: LCM of Numerators as per given numbers 1027/829, 4966/7055 is

LCM of Numerators i.e. for 1027,4966 is 392314

GCF of denominators i.e. for 829,7055 is 1.

Thus, LCM of Fractions is 392314.Finally, LCM of Fractions for 1027/829, 4966/7055 is 392314.