Least Common Multiple of 49/50, 285/55, 412/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/50, 285/55, 412/950 quickly i.e. 1150716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/50, 285/55, 412/950 is 1150716.

LCM(49/50, 285/55, 412/950) = 1150716

LCM of 49/50, 285/55, 412/950

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 49/50,285/55,412/950

Given numbers are 49/50,285/55,412/950

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 49,285,412

Least Common Multiple of Numerators i.e. LCM of 49,285,412 is 5753580.

GCF of Denominators means GCF of 50,55,950 as per the given fractions.

GCF of 50,55,950 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,285,412

LCM of Fractions 49/50,285/55,412/950 is 1150716

Given numbers has no common factors except 1. So, there LCM is their product i.e 5753580

Least Common Multiple of 49,285,412 with GCF Formula

Least Common Multiple of 49,285,412 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 49,285,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,285,412) = 1

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

GCF(49,285,412) x common factors =1 x 1 = 1

LCM(49,285,412) = ( 49 × 285 × 412 ) / 1

LCM(49,285,412) = 5753580 / 1

LCM(49,285,412) = 5753580


Lets's calculate GCF of 50,55,950

5 50, 55, 950
10, 11, 190

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5753580/5

Therefore the LCM of Fractions 49/50,285/55,412/950 is 1150716

Greatest Common Factor of 50,55,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,55,950 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 50,55,950 . The biggest common factor number is the GCF number.
So the greatest common factor 50,55,950 is 5.


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 49/50, 285/55, 412/950

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 49/50, 285/55, 412/950?

Answer: LCM of Numerators as per given numbers 49/50, 285/55, 412/950 is

LCM of Numerators i.e. for 49,285,412 is 5753580

GCF of denominators i.e. for 50,55,950 is 5.

Thus, LCM of Fractions is 1150716.Finally, LCM of Fractions for 49/50, 285/55, 412/950 is 1150716.