Least Common Multiple of 392/484, 1583/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/484, 1583/954 quickly i.e. 310268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/484, 1583/954 is 310268.

LCM(392/484, 1583/954) = 310268

LCM of 392/484, 1583/954

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 392/484,1583/954

Given numbers are 392/484,1583/954

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 392,1583

Least Common Multiple of Numerators i.e. LCM of 392,1583 is 620536.

GCF of Denominators means GCF of 484,954 as per the given fractions.

GCF of 484,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,1583

LCM of Fractions 392/484,1583/954 is 310268

Given numbers has no common factors except 1. So, there LCM is their product i.e 620536

Least Common Multiple of 392,1583 with GCF Formula

Least Common Multiple of 392,1583 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 392,1583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,1583) = 1

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

GCF(392,1583) x common factors =1 x 1 = 1

LCM(392,1583) = ( 392 × 1583 ) / 1

LCM(392,1583) = 620536 / 1

LCM(392,1583) = 620536


Lets's calculate GCF of 484,954

2 484, 954
242, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620536/2

Therefore the LCM of Fractions 392/484,1583/954 is 310268

Greatest Common Factor of 484,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,954 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 484,954 . The biggest common factor number is the GCF number.
So the greatest common factor 484,954 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 392/484, 1583/954

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 392/484, 1583/954?

Answer: LCM of Numerators as per given numbers 392/484, 1583/954 is

LCM of Numerators i.e. for 392,1583 is 620536

GCF of denominators i.e. for 484,954 is 2.

Thus, LCM of Fractions is 310268.Finally, LCM of Fractions for 392/484, 1583/954 is 310268.