Least Common Multiple of 1916/904, 3042/7462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1916/904, 3042/7462 quickly i.e. 1457118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1916/904, 3042/7462 is 1457118.

LCM(1916/904, 3042/7462) = 1457118

LCM of 1916/904, 3042/7462

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 1916/904,3042/7462

Given numbers are 1916/904,3042/7462

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 1916,3042

Least Common Multiple of Numerators i.e. LCM of 1916,3042 is 2914236.

GCF of Denominators means GCF of 904,7462 as per the given fractions.

GCF of 904,7462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1916,3042

LCM of Fractions 1916/904,3042/7462 is 1457118

2 1916, 3042
958, 1521

∴ So the LCM of the given numbers is 2 x 958 x 1521 = 2914236

Least Common Multiple of 1916,3042 with GCF Formula

Least Common Multiple of 1916,3042 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 1916,3042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1916,3042) = 2

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

GCF(1916,3042) x common factors =2 x 1 = 2

LCM(1916,3042) = ( 1916 × 3042 ) / 2

LCM(1916,3042) = 5828472 / 2

LCM(1916,3042) = 2914236


Lets's calculate GCF of 904,7462

2 904, 7462
452, 3731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2914236/2

Therefore the LCM of Fractions 1916/904,3042/7462 is 1457118

Greatest Common Factor of 904,7462 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,7462 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors 904,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 904,7462 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 1916/904, 3042/7462

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 1916/904, 3042/7462?

Answer: LCM of Numerators as per given numbers 1916/904, 3042/7462 is

LCM of Numerators i.e. for 1916,3042 is 2914236

GCF of denominators i.e. for 904,7462 is 2.

Thus, LCM of Fractions is 1457118.Finally, LCM of Fractions for 1916/904, 3042/7462 is 1457118.