Least Common Multiple of 305/947, 852/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 305/947, 852/736 quickly i.e. 259860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/947, 852/736 is 259860.

LCM(305/947, 852/736) = 259860

LCM of 305/947, 852/736

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 305/947,852/736

Given numbers are 305/947,852/736

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 305,852

Least Common Multiple of Numerators i.e. LCM of 305,852 is 259860.

GCF of Denominators means GCF of 947,736 as per the given fractions.

GCF of 947,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,852

LCM of Fractions 305/947,852/736 is 259860

Given numbers has no common factors except 1. So, there LCM is their product i.e 259860

Least Common Multiple of 305,852 with GCF Formula

Least Common Multiple of 305,852 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 305,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,852) = 1

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

GCF(305,852) x common factors =1 x 1 = 1

LCM(305,852) = ( 305 × 852 ) / 1

LCM(305,852) = 259860 / 1

LCM(305,852) = 259860


Lets's calculate GCF of 947,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259860/1

Therefore the LCM of Fractions 305/947,852/736 is 259860

Greatest Common Factor of 947,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,736 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 947,736 . The biggest common factor number is the GCF number.
So the greatest common factor 947,736 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 305/947, 852/736

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 305/947, 852/736?

Answer: LCM of Numerators as per given numbers 305/947, 852/736 is

LCM of Numerators i.e. for 305,852 is 259860

GCF of denominators i.e. for 947,736 is 1.

Thus, LCM of Fractions is 259860.Finally, LCM of Fractions for 305/947, 852/736 is 259860.