Least Common Multiple of 484/14, 946/53, 782/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/14, 946/53, 782/902 quickly i.e. 8137492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/14, 946/53, 782/902 is 8137492.

LCM(484/14, 946/53, 782/902) = 8137492

LCM of 484/14, 946/53, 782/902

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 484/14,946/53,782/902

Given numbers are 484/14,946/53,782/902

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 484,946,782

Least Common Multiple of Numerators i.e. LCM of 484,946,782 is 8137492.

GCF of Denominators means GCF of 14,53,902 as per the given fractions.

GCF of 14,53,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,946,782

LCM of Fractions 484/14,946/53,782/902 is 8137492

2 484, 946, 782
11 242, 473, 391
22, 43, 391

∴ So the LCM of the given numbers is 2 x 11 x 22 x 43 x 391 = 8137492

Least Common Multiple of 484,946,782 with GCF Formula

Least Common Multiple of 484,946,782 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 484,946,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,946,782) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(484,946,782) x common factors =2 x 22 = 44

LCM(484,946,782) = ( 484 × 946 × 782 ) / 44

LCM(484,946,782) = 358049648 / 44

LCM(484,946,782) = 8137492


Lets's calculate GCF of 14,53,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8137492/1

Therefore the LCM of Fractions 484/14,946/53,782/902 is 8137492

Greatest Common Factor of 14,53,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,53,902 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 14,53,902 . The biggest common factor number is the GCF number.
So the greatest common factor 14,53,902 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 484/14, 946/53, 782/902

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 484/14, 946/53, 782/902?

Answer: LCM of Numerators as per given numbers 484/14, 946/53, 782/902 is

LCM of Numerators i.e. for 484,946,782 is 8137492

GCF of denominators i.e. for 14,53,902 is 1.

Thus, LCM of Fractions is 8137492.Finally, LCM of Fractions for 484/14, 946/53, 782/902 is 8137492.