Least Common Multiple of 49/64, 96/90, 703/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/64, 96/90, 703/506 quickly i.e. 1653456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/64, 96/90, 703/506 is 1653456.

LCM(49/64, 96/90, 703/506) = 1653456

LCM of 49/64, 96/90, 703/506

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 49/64,96/90,703/506

Given numbers are 49/64,96/90,703/506

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 49,96,703

Least Common Multiple of Numerators i.e. LCM of 49,96,703 is 3306912.

GCF of Denominators means GCF of 64,90,506 as per the given fractions.

GCF of 64,90,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,96,703

LCM of Fractions 49/64,96/90,703/506 is 1653456

Given numbers has no common factors except 1. So, there LCM is their product i.e 3306912

Least Common Multiple of 49,96,703 with GCF Formula

Least Common Multiple of 49,96,703 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 49,96,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,96,703) = 1

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

GCF(49,96,703) x common factors =1 x 1 = 1

LCM(49,96,703) = ( 49 × 96 × 703 ) / 1

LCM(49,96,703) = 3306912 / 1

LCM(49,96,703) = 3306912


Lets's calculate GCF of 64,90,506

2 64, 90, 506
32, 45, 253

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3306912/2

Therefore the LCM of Fractions 49/64,96/90,703/506 is 1653456

Greatest Common Factor of 64,90,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,90,506 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 64,90,506 . The biggest common factor number is the GCF number.
So the greatest common factor 64,90,506 is 2.


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 49/64, 96/90, 703/506

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 49/64, 96/90, 703/506?

Answer: LCM of Numerators as per given numbers 49/64, 96/90, 703/506 is

LCM of Numerators i.e. for 49,96,703 is 3306912

GCF of denominators i.e. for 64,90,506 is 2.

Thus, LCM of Fractions is 1653456.Finally, LCM of Fractions for 49/64, 96/90, 703/506 is 1653456.