Least Common Multiple of 1033/14, 3494/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1033/14, 3494/778 quickly i.e. 1804651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1033/14, 3494/778 is 1804651.

LCM(1033/14, 3494/778) = 1804651

LCM of 1033/14, 3494/778

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 1033/14,3494/778

Given numbers are 1033/14,3494/778

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 1033,3494

Least Common Multiple of Numerators i.e. LCM of 1033,3494 is 3609302.

GCF of Denominators means GCF of 14,778 as per the given fractions.

GCF of 14,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1033,3494

LCM of Fractions 1033/14,3494/778 is 1804651

Given numbers has no common factors except 1. So, there LCM is their product i.e 3609302

Least Common Multiple of 1033,3494 with GCF Formula

Least Common Multiple of 1033,3494 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 1033,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1033,3494) = 1

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

GCF(1033,3494) x common factors =1 x 1 = 1

LCM(1033,3494) = ( 1033 × 3494 ) / 1

LCM(1033,3494) = 3609302 / 1

LCM(1033,3494) = 3609302


Lets's calculate GCF of 14,778

2 14, 778
7, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3609302/2

Therefore the LCM of Fractions 1033/14,3494/778 is 1804651

Greatest Common Factor of 14,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,778 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 14,778 . The biggest common factor number is the GCF number.
So the greatest common factor 14,778 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 1033/14, 3494/778

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 1033/14, 3494/778?

Answer: LCM of Numerators as per given numbers 1033/14, 3494/778 is

LCM of Numerators i.e. for 1033,3494 is 3609302

GCF of denominators i.e. for 14,778 is 2.

Thus, LCM of Fractions is 1804651.Finally, LCM of Fractions for 1033/14, 3494/778 is 1804651.