Least Common Multiple of 4679/754, 1474/1145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4679/754, 1474/1145 quickly i.e. 6896846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4679/754, 1474/1145 is 6896846.

LCM(4679/754, 1474/1145) = 6896846

LCM of 4679/754, 1474/1145

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 4679/754,1474/1145

Given numbers are 4679/754,1474/1145

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 4679,1474

Least Common Multiple of Numerators i.e. LCM of 4679,1474 is 6896846.

GCF of Denominators means GCF of 754,1145 as per the given fractions.

GCF of 754,1145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4679,1474

LCM of Fractions 4679/754,1474/1145 is 6896846

Given numbers has no common factors except 1. So, there LCM is their product i.e 6896846

Least Common Multiple of 4679,1474 with GCF Formula

Least Common Multiple of 4679,1474 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 4679,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4679,1474) = 1

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

GCF(4679,1474) x common factors =1 x 1 = 1

LCM(4679,1474) = ( 4679 × 1474 ) / 1

LCM(4679,1474) = 6896846 / 1

LCM(4679,1474) = 6896846


Lets's calculate GCF of 754,1145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6896846/1

Therefore the LCM of Fractions 4679/754,1474/1145 is 6896846

Greatest Common Factor of 754,1145 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,1145 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1,5,229,1145

Greatest Common Factor

We found the factors 754,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 754,1145 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 4679/754, 1474/1145

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 4679/754, 1474/1145?

Answer: LCM of Numerators as per given numbers 4679/754, 1474/1145 is

LCM of Numerators i.e. for 4679,1474 is 6896846

GCF of denominators i.e. for 754,1145 is 1.

Thus, LCM of Fractions is 6896846.Finally, LCM of Fractions for 4679/754, 1474/1145 is 6896846.