Least Common Multiple of 349/53, 9348/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 349/53, 9348/962 quickly i.e. 3262452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/53, 9348/962 is 3262452.

LCM(349/53, 9348/962) = 3262452

LCM of 349/53, 9348/962

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 349/53,9348/962

Given numbers are 349/53,9348/962

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 349,9348

Least Common Multiple of Numerators i.e. LCM of 349,9348 is 3262452.

GCF of Denominators means GCF of 53,962 as per the given fractions.

GCF of 53,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,9348

LCM of Fractions 349/53,9348/962 is 3262452

Given numbers has no common factors except 1. So, there LCM is their product i.e 3262452

Least Common Multiple of 349,9348 with GCF Formula

Least Common Multiple of 349,9348 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 349,9348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,9348) = 1

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

GCF(349,9348) x common factors =1 x 1 = 1

LCM(349,9348) = ( 349 × 9348 ) / 1

LCM(349,9348) = 3262452 / 1

LCM(349,9348) = 3262452


Lets's calculate GCF of 53,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3262452/1

Therefore the LCM of Fractions 349/53,9348/962 is 3262452

Greatest Common Factor of 53,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,962 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 53,962 . The biggest common factor number is the GCF number.
So the greatest common factor 53,962 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 349/53, 9348/962

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 349/53, 9348/962?

Answer: LCM of Numerators as per given numbers 349/53, 9348/962 is

LCM of Numerators i.e. for 349,9348 is 3262452

GCF of denominators i.e. for 53,962 is 1.

Thus, LCM of Fractions is 3262452.Finally, LCM of Fractions for 349/53, 9348/962 is 3262452.