Least Common Multiple of 14/40, 402/70, 294/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/40, 402/70, 294/458 quickly i.e. 9849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/40, 402/70, 294/458 is 9849.

LCM(14/40, 402/70, 294/458) = 9849

LCM of 14/40, 402/70, 294/458

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 14/40,402/70,294/458

Given numbers are 14/40,402/70,294/458

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 14,402,294

Least Common Multiple of Numerators i.e. LCM of 14,402,294 is 19698.

GCF of Denominators means GCF of 40,70,458 as per the given fractions.

GCF of 40,70,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,402,294

LCM of Fractions 14/40,402/70,294/458 is 9849

2 14, 402, 294
3 7, 201, 147
7 7, 67, 49
1, 67, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 67 x 7 = 19698

Least Common Multiple of 14,402,294 with GCF Formula

Least Common Multiple of 14,402,294 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 14,402,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,402,294) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(14,402,294) x common factors =2 x 42 = 84

LCM(14,402,294) = ( 14 × 402 × 294 ) / 84

LCM(14,402,294) = 1654632 / 84

LCM(14,402,294) = 19698


Lets's calculate GCF of 40,70,458

2 40, 70, 458
20, 35, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19698/2

Therefore the LCM of Fractions 14/40,402/70,294/458 is 9849

Greatest Common Factor of 40,70,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,70,458 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 40,70,458 . The biggest common factor number is the GCF number.
So the greatest common factor 40,70,458 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 14/40, 402/70, 294/458

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 14/40, 402/70, 294/458?

Answer: LCM of Numerators as per given numbers 14/40, 402/70, 294/458 is

LCM of Numerators i.e. for 14,402,294 is 19698

GCF of denominators i.e. for 40,70,458 is 2.

Thus, LCM of Fractions is 9849.Finally, LCM of Fractions for 14/40, 402/70, 294/458 is 9849.