Least Common Multiple of 7240/498, 9968/2265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7240/498, 9968/2265 quickly i.e. 9021040/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7240/498, 9968/2265 is 9021040/3.

LCM(7240/498, 9968/2265) = 9021040/3

LCM of 7240/498, 9968/2265

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 7240/498,9968/2265

Given numbers are 7240/498,9968/2265

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 7240,9968

Least Common Multiple of Numerators i.e. LCM of 7240,9968 is 9021040.

GCF of Denominators means GCF of 498,2265 as per the given fractions.

GCF of 498,2265 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7240,9968

LCM of Fractions 7240/498,9968/2265 is 9021040/3

2 7240, 9968
2 3620, 4984
2 1810, 2492
905, 1246

∴ So the LCM of the given numbers is 2 x 2 x 2 x 905 x 1246 = 9021040

Least Common Multiple of 7240,9968 with GCF Formula

Least Common Multiple of 7240,9968 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 7240,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7240,9968) = 8

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

GCF(7240,9968) x common factors =8 x 1 = 8

LCM(7240,9968) = ( 7240 × 9968 ) / 8

LCM(7240,9968) = 72168320 / 8

LCM(7240,9968) = 9021040


Lets's calculate GCF of 498,2265

3 498, 2265
166, 755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9021040/3

Therefore the LCM of Fractions 7240/498,9968/2265 is 9021040/3

Greatest Common Factor of 498,2265 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,2265 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Greatest Common Factor

We found the factors 498,2265 . The biggest common factor number is the GCF number.
So the greatest common factor 498,2265 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 7240/498, 9968/2265

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 7240/498, 9968/2265?

Answer: LCM of Numerators as per given numbers 7240/498, 9968/2265 is

LCM of Numerators i.e. for 7240,9968 is 9021040

GCF of denominators i.e. for 498,2265 is 3.

Thus, LCM of Fractions is 9021040/3.Finally, LCM of Fractions for 7240/498, 9968/2265 is 9021040/3.