Least Common Multiple of 34/982, 118/120, 457/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/982, 118/120, 457/188 quickly i.e. 458371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/982, 118/120, 457/188 is 458371.

LCM(34/982, 118/120, 457/188) = 458371

LCM of 34/982, 118/120, 457/188

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 34/982,118/120,457/188

Given numbers are 34/982,118/120,457/188

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 34,118,457

Least Common Multiple of Numerators i.e. LCM of 34,118,457 is 916742.

GCF of Denominators means GCF of 982,120,188 as per the given fractions.

GCF of 982,120,188 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,118,457

LCM of Fractions 34/982,118/120,457/188 is 458371

2 34, 118, 457
17, 59, 457

∴ So the LCM of the given numbers is 2 x 17 x 59 x 457 = 916742

Least Common Multiple of 34,118,457 with GCF Formula

Least Common Multiple of 34,118,457 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 34,118,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,118,457) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,118,457) x common factors =1 x 2 = 2

LCM(34,118,457) = ( 34 × 118 × 457 ) / 2

LCM(34,118,457) = 1833484 / 2

LCM(34,118,457) = 916742


Lets's calculate GCF of 982,120,188

2 982, 120, 188
491, 60, 94

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 916742/2

Therefore the LCM of Fractions 34/982,118/120,457/188 is 458371

Greatest Common Factor of 982,120,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,120,188 By Matching Biggest Common Factor Method

Factors of 982

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

1,2,491,982

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 982,120,188 . The biggest common factor number is the GCF number.
So the greatest common factor 982,120,188 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 34/982, 118/120, 457/188

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 34/982, 118/120, 457/188?

Answer: LCM of Numerators as per given numbers 34/982, 118/120, 457/188 is

LCM of Numerators i.e. for 34,118,457 is 916742

GCF of denominators i.e. for 982,120,188 is 2.

Thus, LCM of Fractions is 458371.Finally, LCM of Fractions for 34/982, 118/120, 457/188 is 458371.