Least Common Multiple of 7430/867, 4278/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7430/867, 4278/522 quickly i.e. 5297590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7430/867, 4278/522 is 5297590.

LCM(7430/867, 4278/522) = 5297590

LCM of 7430/867, 4278/522

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 7430/867,4278/522

Given numbers are 7430/867,4278/522

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 7430,4278

Least Common Multiple of Numerators i.e. LCM of 7430,4278 is 15892770.

GCF of Denominators means GCF of 867,522 as per the given fractions.

GCF of 867,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7430,4278

LCM of Fractions 7430/867,4278/522 is 5297590

2 7430, 4278
3715, 2139

∴ So the LCM of the given numbers is 2 x 3715 x 2139 = 15892770

Least Common Multiple of 7430,4278 with GCF Formula

Least Common Multiple of 7430,4278 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 7430,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7430,4278) = 2

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

GCF(7430,4278) x common factors =2 x 1 = 2

LCM(7430,4278) = ( 7430 × 4278 ) / 2

LCM(7430,4278) = 31785540 / 2

LCM(7430,4278) = 15892770


Lets's calculate GCF of 867,522

3 867, 522
289, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15892770/3

Therefore the LCM of Fractions 7430/867,4278/522 is 5297590

Greatest Common Factor of 867,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,522 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 867,522 . The biggest common factor number is the GCF number.
So the greatest common factor 867,522 is 3.


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 7430/867, 4278/522

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 7430/867, 4278/522?

Answer: LCM of Numerators as per given numbers 7430/867, 4278/522 is

LCM of Numerators i.e. for 7430,4278 is 15892770

GCF of denominators i.e. for 867,522 is 3.

Thus, LCM of Fractions is 5297590.Finally, LCM of Fractions for 7430/867, 4278/522 is 5297590.