Least Common Multiple of 123/902, 7882/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/902, 7882/348 quickly i.e. 484743 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/902, 7882/348 is 484743.

LCM(123/902, 7882/348) = 484743

LCM of 123/902, 7882/348

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 123/902,7882/348

Given numbers are 123/902,7882/348

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 123,7882

Least Common Multiple of Numerators i.e. LCM of 123,7882 is 969486.

GCF of Denominators means GCF of 902,348 as per the given fractions.

GCF of 902,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,7882

LCM of Fractions 123/902,7882/348 is 484743

Given numbers has no common factors except 1. So, there LCM is their product i.e 969486

Least Common Multiple of 123,7882 with GCF Formula

Least Common Multiple of 123,7882 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 123,7882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,7882) = 1

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

GCF(123,7882) x common factors =1 x 1 = 1

LCM(123,7882) = ( 123 × 7882 ) / 1

LCM(123,7882) = 969486 / 1

LCM(123,7882) = 969486


Lets's calculate GCF of 902,348

2 902, 348
451, 174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 969486/2

Therefore the LCM of Fractions 123/902,7882/348 is 484743

Greatest Common Factor of 902,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,348 By Matching Biggest Common Factor Method

Factors of 902

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

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

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 902,348 . The biggest common factor number is the GCF number.
So the greatest common factor 902,348 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 123/902, 7882/348

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 123/902, 7882/348?

Answer: LCM of Numerators as per given numbers 123/902, 7882/348 is

LCM of Numerators i.e. for 123,7882 is 969486

GCF of denominators i.e. for 902,348 is 2.

Thus, LCM of Fractions is 484743.Finally, LCM of Fractions for 123/902, 7882/348 is 484743.