Least Common Multiple of 483/42, 785/99, 702/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 483/42, 785/99, 702/742 quickly i.e. 88722270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/42, 785/99, 702/742 is 88722270.

LCM(483/42, 785/99, 702/742) = 88722270

LCM of 483/42, 785/99, 702/742

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 483/42,785/99,702/742

Given numbers are 483/42,785/99,702/742

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 483,785,702

Least Common Multiple of Numerators i.e. LCM of 483,785,702 is 88722270.

GCF of Denominators means GCF of 42,99,742 as per the given fractions.

GCF of 42,99,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,785,702

LCM of Fractions 483/42,785/99,702/742 is 88722270

3 483, 785, 702
161, 785, 234

∴ So the LCM of the given numbers is 3 x 161 x 785 x 234 = 88722270

Least Common Multiple of 483,785,702 with GCF Formula

Least Common Multiple of 483,785,702 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 483,785,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,785,702) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(483,785,702) x common factors =1 x 3 = 3

LCM(483,785,702) = ( 483 × 785 × 702 ) / 3

LCM(483,785,702) = 266166810 / 3

LCM(483,785,702) = 88722270


Lets's calculate GCF of 42,99,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88722270/1

Therefore the LCM of Fractions 483/42,785/99,702/742 is 88722270

Greatest Common Factor of 42,99,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,99,742 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 42,99,742 . The biggest common factor number is the GCF number.
So the greatest common factor 42,99,742 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 483/42, 785/99, 702/742

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 483/42, 785/99, 702/742?

Answer: LCM of Numerators as per given numbers 483/42, 785/99, 702/742 is

LCM of Numerators i.e. for 483,785,702 is 88722270

GCF of denominators i.e. for 42,99,742 is 1.

Thus, LCM of Fractions is 88722270.Finally, LCM of Fractions for 483/42, 785/99, 702/742 is 88722270.