Least Common Multiple of 742/74, 855/41, 982/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/74, 855/41, 982/448 quickly i.e. 311495310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/74, 855/41, 982/448 is 311495310.

LCM(742/74, 855/41, 982/448) = 311495310

LCM of 742/74, 855/41, 982/448

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 742/74,855/41,982/448

Given numbers are 742/74,855/41,982/448

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 742,855,982

Least Common Multiple of Numerators i.e. LCM of 742,855,982 is 311495310.

GCF of Denominators means GCF of 74,41,448 as per the given fractions.

GCF of 74,41,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,855,982

LCM of Fractions 742/74,855/41,982/448 is 311495310

2 742, 855, 982
371, 855, 491

∴ So the LCM of the given numbers is 2 x 371 x 855 x 491 = 311495310

Least Common Multiple of 742,855,982 with GCF Formula

Least Common Multiple of 742,855,982 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 742,855,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,855,982) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(742,855,982) x common factors =1 x 2 = 2

LCM(742,855,982) = ( 742 × 855 × 982 ) / 2

LCM(742,855,982) = 622990620 / 2

LCM(742,855,982) = 311495310


Lets's calculate GCF of 74,41,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311495310/1

Therefore the LCM of Fractions 742/74,855/41,982/448 is 311495310

Greatest Common Factor of 74,41,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,41,448 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 74,41,448 . The biggest common factor number is the GCF number.
So the greatest common factor 74,41,448 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 742/74, 855/41, 982/448

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 742/74, 855/41, 982/448?

Answer: LCM of Numerators as per given numbers 742/74, 855/41, 982/448 is

LCM of Numerators i.e. for 742,855,982 is 311495310

GCF of denominators i.e. for 74,41,448 is 1.

Thus, LCM of Fractions is 311495310.Finally, LCM of Fractions for 742/74, 855/41, 982/448 is 311495310.