Least Common Multiple of 154/96, 686/3023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/96, 686/3023 quickly i.e. 7546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/96, 686/3023 is 7546.

LCM(154/96, 686/3023) = 7546

LCM of 154/96, 686/3023

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 154/96,686/3023

Given numbers are 154/96,686/3023

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 154,686

Least Common Multiple of Numerators i.e. LCM of 154,686 is 7546.

GCF of Denominators means GCF of 96,3023 as per the given fractions.

GCF of 96,3023 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,686

LCM of Fractions 154/96,686/3023 is 7546

2 154, 686
7 77, 343
11, 49

∴ So the LCM of the given numbers is 2 x 7 x 11 x 49 = 7546

Least Common Multiple of 154,686 with GCF Formula

Least Common Multiple of 154,686 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 154,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,686) = 14

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

GCF(154,686) x common factors =14 x 1 = 14

LCM(154,686) = ( 154 × 686 ) / 14

LCM(154,686) = 105644 / 14

LCM(154,686) = 7546


Lets's calculate GCF of 96,3023

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7546/1

Therefore the LCM of Fractions 154/96,686/3023 is 7546

Greatest Common Factor of 96,3023 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,3023 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1,3023

Greatest Common Factor

We found the factors 96,3023 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3023 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 154/96, 686/3023

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 154/96, 686/3023?

Answer: LCM of Numerators as per given numbers 154/96, 686/3023 is

LCM of Numerators i.e. for 154,686 is 7546

GCF of denominators i.e. for 96,3023 is 1.

Thus, LCM of Fractions is 7546.Finally, LCM of Fractions for 154/96, 686/3023 is 7546.