Least Common Multiple of 1069/149, 8816/7303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1069/149, 8816/7303 quickly i.e. 9424304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1069/149, 8816/7303 is 9424304.

LCM(1069/149, 8816/7303) = 9424304

LCM of 1069/149, 8816/7303

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 1069/149,8816/7303

Given numbers are 1069/149,8816/7303

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 1069,8816

Least Common Multiple of Numerators i.e. LCM of 1069,8816 is 9424304.

GCF of Denominators means GCF of 149,7303 as per the given fractions.

GCF of 149,7303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1069,8816

LCM of Fractions 1069/149,8816/7303 is 9424304

Given numbers has no common factors except 1. So, there LCM is their product i.e 9424304

Least Common Multiple of 1069,8816 with GCF Formula

Least Common Multiple of 1069,8816 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 1069,8816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1069,8816) = 1

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

GCF(1069,8816) x common factors =1 x 1 = 1

LCM(1069,8816) = ( 1069 × 8816 ) / 1

LCM(1069,8816) = 9424304 / 1

LCM(1069,8816) = 9424304


Lets's calculate GCF of 149,7303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9424304/1

Therefore the LCM of Fractions 1069/149,8816/7303 is 9424304

Greatest Common Factor of 149,7303 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,7303 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 7303

List of positive integer factors of 7303 that divides 7303 without a remainder.

1,67,109,7303

Greatest Common Factor

We found the factors 149,7303 . The biggest common factor number is the GCF number.
So the greatest common factor 149,7303 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 1069/149, 8816/7303

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 1069/149, 8816/7303?

Answer: LCM of Numerators as per given numbers 1069/149, 8816/7303 is

LCM of Numerators i.e. for 1069,8816 is 9424304

GCF of denominators i.e. for 149,7303 is 1.

Thus, LCM of Fractions is 9424304.Finally, LCM of Fractions for 1069/149, 8816/7303 is 9424304.