Least Common Multiple of 374/83, 424/7022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/83, 424/7022 quickly i.e. 79288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/83, 424/7022 is 79288.

LCM(374/83, 424/7022) = 79288

LCM of 374/83, 424/7022

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 374/83,424/7022

Given numbers are 374/83,424/7022

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 374,424

Least Common Multiple of Numerators i.e. LCM of 374,424 is 79288.

GCF of Denominators means GCF of 83,7022 as per the given fractions.

GCF of 83,7022 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,424

LCM of Fractions 374/83,424/7022 is 79288

2 374, 424
187, 212

∴ So the LCM of the given numbers is 2 x 187 x 212 = 79288

Least Common Multiple of 374,424 with GCF Formula

Least Common Multiple of 374,424 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 374,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,424) = 2

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

GCF(374,424) x common factors =2 x 1 = 2

LCM(374,424) = ( 374 × 424 ) / 2

LCM(374,424) = 158576 / 2

LCM(374,424) = 79288


Lets's calculate GCF of 83,7022

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79288/1

Therefore the LCM of Fractions 374/83,424/7022 is 79288

Greatest Common Factor of 83,7022 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,7022 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Greatest Common Factor

We found the factors 83,7022 . The biggest common factor number is the GCF number.
So the greatest common factor 83,7022 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 374/83, 424/7022

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 374/83, 424/7022?

Answer: LCM of Numerators as per given numbers 374/83, 424/7022 is

LCM of Numerators i.e. for 374,424 is 79288

GCF of denominators i.e. for 83,7022 is 1.

Thus, LCM of Fractions is 79288.Finally, LCM of Fractions for 374/83, 424/7022 is 79288.