Least Common Multiple of 982/58, 340/1608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/58, 340/1608 quickly i.e. 83470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/58, 340/1608 is 83470.

LCM(982/58, 340/1608) = 83470

LCM of 982/58, 340/1608

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 982/58,340/1608

Given numbers are 982/58,340/1608

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 982,340

Least Common Multiple of Numerators i.e. LCM of 982,340 is 166940.

GCF of Denominators means GCF of 58,1608 as per the given fractions.

GCF of 58,1608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,340

LCM of Fractions 982/58,340/1608 is 83470

2 982, 340
491, 170

∴ So the LCM of the given numbers is 2 x 491 x 170 = 166940

Least Common Multiple of 982,340 with GCF Formula

Least Common Multiple of 982,340 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 982,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,340) = 2

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

GCF(982,340) x common factors =2 x 1 = 2

LCM(982,340) = ( 982 × 340 ) / 2

LCM(982,340) = 333880 / 2

LCM(982,340) = 166940


Lets's calculate GCF of 58,1608

2 58, 1608
29, 804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166940/2

Therefore the LCM of Fractions 982/58,340/1608 is 83470

Greatest Common Factor of 58,1608 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1608 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Greatest Common Factor

We found the factors 58,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1608 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 982/58, 340/1608

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 982/58, 340/1608?

Answer: LCM of Numerators as per given numbers 982/58, 340/1608 is

LCM of Numerators i.e. for 982,340 is 166940

GCF of denominators i.e. for 58,1608 is 2.

Thus, LCM of Fractions is 83470.Finally, LCM of Fractions for 982/58, 340/1608 is 83470.