Least Common Multiple of 1482/492, 4708/9722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1482/492, 4708/9722 quickly i.e. 1744314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1482/492, 4708/9722 is 1744314.

LCM(1482/492, 4708/9722) = 1744314

LCM of 1482/492, 4708/9722

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 1482/492,4708/9722

Given numbers are 1482/492,4708/9722

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 1482,4708

Least Common Multiple of Numerators i.e. LCM of 1482,4708 is 3488628.

GCF of Denominators means GCF of 492,9722 as per the given fractions.

GCF of 492,9722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1482,4708

LCM of Fractions 1482/492,4708/9722 is 1744314

2 1482, 4708
741, 2354

∴ So the LCM of the given numbers is 2 x 741 x 2354 = 3488628

Least Common Multiple of 1482,4708 with GCF Formula

Least Common Multiple of 1482,4708 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 1482,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1482,4708) = 2

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

GCF(1482,4708) x common factors =2 x 1 = 2

LCM(1482,4708) = ( 1482 × 4708 ) / 2

LCM(1482,4708) = 6977256 / 2

LCM(1482,4708) = 3488628


Lets's calculate GCF of 492,9722

2 492, 9722
246, 4861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3488628/2

Therefore the LCM of Fractions 1482/492,4708/9722 is 1744314

Greatest Common Factor of 492,9722 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,9722 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1,2,4861,9722

Greatest Common Factor

We found the factors 492,9722 . The biggest common factor number is the GCF number.
So the greatest common factor 492,9722 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 1482/492, 4708/9722

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 1482/492, 4708/9722?

Answer: LCM of Numerators as per given numbers 1482/492, 4708/9722 is

LCM of Numerators i.e. for 1482,4708 is 3488628

GCF of denominators i.e. for 492,9722 is 2.

Thus, LCM of Fractions is 1744314.Finally, LCM of Fractions for 1482/492, 4708/9722 is 1744314.