Least Common Multiple of 60/673, 2258/2695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/673, 2258/2695 quickly i.e. 67740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/673, 2258/2695 is 67740.

LCM(60/673, 2258/2695) = 67740

LCM of 60/673, 2258/2695

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 60/673,2258/2695

Given numbers are 60/673,2258/2695

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 60,2258

Least Common Multiple of Numerators i.e. LCM of 60,2258 is 67740.

GCF of Denominators means GCF of 673,2695 as per the given fractions.

GCF of 673,2695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,2258

LCM of Fractions 60/673,2258/2695 is 67740

2 60, 2258
30, 1129

∴ So the LCM of the given numbers is 2 x 30 x 1129 = 67740

Least Common Multiple of 60,2258 with GCF Formula

Least Common Multiple of 60,2258 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 60,2258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,2258) = 2

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

GCF(60,2258) x common factors =2 x 1 = 2

LCM(60,2258) = ( 60 × 2258 ) / 2

LCM(60,2258) = 135480 / 2

LCM(60,2258) = 67740


Lets's calculate GCF of 673,2695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67740/1

Therefore the LCM of Fractions 60/673,2258/2695 is 67740

Greatest Common Factor of 673,2695 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,2695 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 2695

List of positive integer factors of 2695 that divides 2695 without a remainder.

1,5,7,11,35,49,55,77,245,385,539,2695

Greatest Common Factor

We found the factors 673,2695 . The biggest common factor number is the GCF number.
So the greatest common factor 673,2695 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/673, 2258/2695

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 60/673, 2258/2695?

Answer: LCM of Numerators as per given numbers 60/673, 2258/2695 is

LCM of Numerators i.e. for 60,2258 is 67740

GCF of denominators i.e. for 673,2695 is 1.

Thus, LCM of Fractions is 67740.Finally, LCM of Fractions for 60/673, 2258/2695 is 67740.