Least Common Multiple of 58/947, 8704/3380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/947, 8704/3380 quickly i.e. 252416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/947, 8704/3380 is 252416.

LCM(58/947, 8704/3380) = 252416

LCM of 58/947, 8704/3380

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 58/947,8704/3380

Given numbers are 58/947,8704/3380

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 58,8704

Least Common Multiple of Numerators i.e. LCM of 58,8704 is 252416.

GCF of Denominators means GCF of 947,3380 as per the given fractions.

GCF of 947,3380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,8704

LCM of Fractions 58/947,8704/3380 is 252416

2 58, 8704
29, 4352

∴ So the LCM of the given numbers is 2 x 29 x 4352 = 252416

Least Common Multiple of 58,8704 with GCF Formula

Least Common Multiple of 58,8704 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 58,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,8704) = 2

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

GCF(58,8704) x common factors =2 x 1 = 2

LCM(58,8704) = ( 58 × 8704 ) / 2

LCM(58,8704) = 504832 / 2

LCM(58,8704) = 252416


Lets's calculate GCF of 947,3380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252416/1

Therefore the LCM of Fractions 58/947,8704/3380 is 252416

Greatest Common Factor of 947,3380 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,3380 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Greatest Common Factor

We found the factors 947,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 947,3380 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 58/947, 8704/3380

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 58/947, 8704/3380?

Answer: LCM of Numerators as per given numbers 58/947, 8704/3380 is

LCM of Numerators i.e. for 58,8704 is 252416

GCF of denominators i.e. for 947,3380 is 1.

Thus, LCM of Fractions is 252416.Finally, LCM of Fractions for 58/947, 8704/3380 is 252416.