Least Common Multiple of 305/346, 2948/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/346, 2948/970 quickly i.e. 449570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/346, 2948/970 is 449570.

LCM(305/346, 2948/970) = 449570

LCM of 305/346, 2948/970

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 305/346,2948/970

Given numbers are 305/346,2948/970

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 305,2948

Least Common Multiple of Numerators i.e. LCM of 305,2948 is 899140.

GCF of Denominators means GCF of 346,970 as per the given fractions.

GCF of 346,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,2948

LCM of Fractions 305/346,2948/970 is 449570

Given numbers has no common factors except 1. So, there LCM is their product i.e 899140

Least Common Multiple of 305,2948 with GCF Formula

Least Common Multiple of 305,2948 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 305,2948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,2948) = 1

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

GCF(305,2948) x common factors =1 x 1 = 1

LCM(305,2948) = ( 305 × 2948 ) / 1

LCM(305,2948) = 899140 / 1

LCM(305,2948) = 899140


Lets's calculate GCF of 346,970

2 346, 970
173, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 899140/2

Therefore the LCM of Fractions 305/346,2948/970 is 449570

Greatest Common Factor of 346,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,970 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 346,970 . The biggest common factor number is the GCF number.
So the greatest common factor 346,970 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 305/346, 2948/970

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 305/346, 2948/970?

Answer: LCM of Numerators as per given numbers 305/346, 2948/970 is

LCM of Numerators i.e. for 305,2948 is 899140

GCF of denominators i.e. for 346,970 is 2.

Thus, LCM of Fractions is 449570.Finally, LCM of Fractions for 305/346, 2948/970 is 449570.