Least Common Multiple of 48/458, 26/807, 746/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/458, 26/807, 746/958 quickly i.e. 232752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/458, 26/807, 746/958 is 232752.

LCM(48/458, 26/807, 746/958) = 232752

LCM of 48/458, 26/807, 746/958

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 48/458,26/807,746/958

Given numbers are 48/458,26/807,746/958

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 48,26,746

Least Common Multiple of Numerators i.e. LCM of 48,26,746 is 232752.

GCF of Denominators means GCF of 458,807,958 as per the given fractions.

GCF of 458,807,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,26,746

LCM of Fractions 48/458,26/807,746/958 is 232752

2 48, 26, 746
24, 13, 373

∴ So the LCM of the given numbers is 2 x 24 x 13 x 373 = 232752

Least Common Multiple of 48,26,746 with GCF Formula

Least Common Multiple of 48,26,746 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 48,26,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,26,746) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(48,26,746) x common factors =2 x 2 = 4

LCM(48,26,746) = ( 48 × 26 × 746 ) / 4

LCM(48,26,746) = 931008 / 4

LCM(48,26,746) = 232752


Lets's calculate GCF of 458,807,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232752/1

Therefore the LCM of Fractions 48/458,26/807,746/958 is 232752

Greatest Common Factor of 458,807,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,807,958 By Matching Biggest Common Factor Method

Factors of 458

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

1,2,229,458

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 458,807,958 . The biggest common factor number is the GCF number.
So the greatest common factor 458,807,958 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 48/458, 26/807, 746/958

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 48/458, 26/807, 746/958?

Answer: LCM of Numerators as per given numbers 48/458, 26/807, 746/958 is

LCM of Numerators i.e. for 48,26,746 is 232752

GCF of denominators i.e. for 458,807,958 is 1.

Thus, LCM of Fractions is 232752.Finally, LCM of Fractions for 48/458, 26/807, 746/958 is 232752.