Least Common Multiple of 742/16, 677/2096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/16, 677/2096 quickly i.e. 502334/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/16, 677/2096 is 502334/16.

LCM(742/16, 677/2096) = 502334/16

LCM of 742/16, 677/2096

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 742/16,677/2096

Given numbers are 742/16,677/2096

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 742,677

Least Common Multiple of Numerators i.e. LCM of 742,677 is 502334.

GCF of Denominators means GCF of 16,2096 as per the given fractions.

GCF of 16,2096 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,677

LCM of Fractions 742/16,677/2096 is 502334/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 502334

Least Common Multiple of 742,677 with GCF Formula

Least Common Multiple of 742,677 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 742,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,677) = 1

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

GCF(742,677) x common factors =1 x 1 = 1

LCM(742,677) = ( 742 × 677 ) / 1

LCM(742,677) = 502334 / 1

LCM(742,677) = 502334


Lets's calculate GCF of 16,2096

2 16, 2096
2 8, 1048
2 4, 524
2 2, 262
1, 131

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502334/16

Therefore the LCM of Fractions 742/16,677/2096 is 502334/16

Greatest Common Factor of 16,2096 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2096 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1,2,4,8,16,131,262,524,1048,2096

Greatest Common Factor

We found the factors 16,2096 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2096 is 16.


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 742/16, 677/2096

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 742/16, 677/2096?

Answer: LCM of Numerators as per given numbers 742/16, 677/2096 is

LCM of Numerators i.e. for 742,677 is 502334

GCF of denominators i.e. for 16,2096 is 16.

Thus, LCM of Fractions is 502334/16.Finally, LCM of Fractions for 742/16, 677/2096 is 502334/16.