Least Common Multiple of 28/496, 433/959, 234/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/496, 433/959, 234/949 quickly i.e. 1418508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/496, 433/959, 234/949 is 1418508.

LCM(28/496, 433/959, 234/949) = 1418508

LCM of 28/496, 433/959, 234/949

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 28/496,433/959,234/949

Given numbers are 28/496,433/959,234/949

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 28,433,234

Least Common Multiple of Numerators i.e. LCM of 28,433,234 is 1418508.

GCF of Denominators means GCF of 496,959,949 as per the given fractions.

GCF of 496,959,949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,433,234

LCM of Fractions 28/496,433/959,234/949 is 1418508

2 28, 433, 234
14, 433, 117

∴ So the LCM of the given numbers is 2 x 14 x 433 x 117 = 1418508

Least Common Multiple of 28,433,234 with GCF Formula

Least Common Multiple of 28,433,234 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 28,433,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,433,234) = 1

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

GCF(28,433,234) x common factors =1 x 2 = 2

LCM(28,433,234) = ( 28 × 433 × 234 ) / 2

LCM(28,433,234) = 2837016 / 2

LCM(28,433,234) = 1418508


Lets's calculate GCF of 496,959,949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1418508/1

Therefore the LCM of Fractions 28/496,433/959,234/949 is 1418508

Greatest Common Factor of 496,959,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,959,949 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

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

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 496,959,949 . The biggest common factor number is the GCF number.
So the greatest common factor 496,959,949 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 28/496, 433/959, 234/949

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 28/496, 433/959, 234/949?

Answer: LCM of Numerators as per given numbers 28/496, 433/959, 234/949 is

LCM of Numerators i.e. for 28,433,234 is 1418508

GCF of denominators i.e. for 496,959,949 is 1.

Thus, LCM of Fractions is 1418508.Finally, LCM of Fractions for 28/496, 433/959, 234/949 is 1418508.