Least Common Multiple of 34/347, 68/272, 922/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/347, 68/272, 922/982 quickly i.e. 31348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/347, 68/272, 922/982 is 31348.

LCM(34/347, 68/272, 922/982) = 31348

LCM of 34/347, 68/272, 922/982

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 34/347,68/272,922/982

Given numbers are 34/347,68/272,922/982

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 34,68,922

Least Common Multiple of Numerators i.e. LCM of 34,68,922 is 31348.

GCF of Denominators means GCF of 347,272,982 as per the given fractions.

GCF of 347,272,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,922

LCM of Fractions 34/347,68/272,922/982 is 31348

2 34, 68, 922
17 17, 34, 461
1, 2, 461

∴ So the LCM of the given numbers is 2 x 17 x 1 x 2 x 461 = 31348

Least Common Multiple of 34,68,922 with GCF Formula

Least Common Multiple of 34,68,922 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 34,68,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,922) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,68,922) x common factors =2 x 34 = 68

LCM(34,68,922) = ( 34 × 68 × 922 ) / 68

LCM(34,68,922) = 2131664 / 68

LCM(34,68,922) = 31348


Lets's calculate GCF of 347,272,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31348/1

Therefore the LCM of Fractions 34/347,68/272,922/982 is 31348

Greatest Common Factor of 347,272,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,272,982 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 347,272,982 . The biggest common factor number is the GCF number.
So the greatest common factor 347,272,982 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 34/347, 68/272, 922/982

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 34/347, 68/272, 922/982?

Answer: LCM of Numerators as per given numbers 34/347, 68/272, 922/982 is

LCM of Numerators i.e. for 34,68,922 is 31348

GCF of denominators i.e. for 347,272,982 is 1.

Thus, LCM of Fractions is 31348.Finally, LCM of Fractions for 34/347, 68/272, 922/982 is 31348.