Least Common Multiple of 14/992, 4025/4274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/992, 4025/4274 quickly i.e. 4025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/992, 4025/4274 is 4025.

LCM(14/992, 4025/4274) = 4025

LCM of 14/992, 4025/4274

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 14/992,4025/4274

Given numbers are 14/992,4025/4274

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 14,4025

Least Common Multiple of Numerators i.e. LCM of 14,4025 is 8050.

GCF of Denominators means GCF of 992,4274 as per the given fractions.

GCF of 992,4274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,4025

LCM of Fractions 14/992,4025/4274 is 4025

7 14, 4025
2, 575

∴ So the LCM of the given numbers is 7 x 2 x 575 = 8050

Least Common Multiple of 14,4025 with GCF Formula

Least Common Multiple of 14,4025 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 14,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,4025) = 7

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

GCF(14,4025) x common factors =7 x 1 = 7

LCM(14,4025) = ( 14 × 4025 ) / 7

LCM(14,4025) = 56350 / 7

LCM(14,4025) = 8050


Lets's calculate GCF of 992,4274

2 992, 4274
496, 2137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8050/2

Therefore the LCM of Fractions 14/992,4025/4274 is 4025

Greatest Common Factor of 992,4274 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,4274 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 4274

List of positive integer factors of 4274 that divides 4274 without a remainder.

1,2,2137,4274

Greatest Common Factor

We found the factors 992,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 992,4274 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 14/992, 4025/4274

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 14/992, 4025/4274?

Answer: LCM of Numerators as per given numbers 14/992, 4025/4274 is

LCM of Numerators i.e. for 14,4025 is 8050

GCF of denominators i.e. for 992,4274 is 2.

Thus, LCM of Fractions is 4025.Finally, LCM of Fractions for 14/992, 4025/4274 is 4025.