Least Common Multiple of 49/10, 47/50, 336/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/10, 47/50, 336/914 quickly i.e. 55272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/10, 47/50, 336/914 is 55272.

LCM(49/10, 47/50, 336/914) = 55272

LCM of 49/10, 47/50, 336/914

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 49/10,47/50,336/914

Given numbers are 49/10,47/50,336/914

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 49,47,336

Least Common Multiple of Numerators i.e. LCM of 49,47,336 is 110544.

GCF of Denominators means GCF of 10,50,914 as per the given fractions.

GCF of 10,50,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,47,336

LCM of Fractions 49/10,47/50,336/914 is 55272

7 49, 47, 336
7, 47, 48

∴ So the LCM of the given numbers is 7 x 7 x 47 x 48 = 110544

Least Common Multiple of 49,47,336 with GCF Formula

Least Common Multiple of 49,47,336 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 49,47,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,47,336) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,47,336) x common factors =1 x 7 = 7

LCM(49,47,336) = ( 49 × 47 × 336 ) / 7

LCM(49,47,336) = 773808 / 7

LCM(49,47,336) = 110544


Lets's calculate GCF of 10,50,914

2 10, 50, 914
5, 25, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110544/2

Therefore the LCM of Fractions 49/10,47/50,336/914 is 55272

Greatest Common Factor of 10,50,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,50,914 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 50

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

1,2,5,10,25,50

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 10,50,914 . The biggest common factor number is the GCF number.
So the greatest common factor 10,50,914 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 49/10, 47/50, 336/914

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 49/10, 47/50, 336/914?

Answer: LCM of Numerators as per given numbers 49/10, 47/50, 336/914 is

LCM of Numerators i.e. for 49,47,336 is 110544

GCF of denominators i.e. for 10,50,914 is 2.

Thus, LCM of Fractions is 55272.Finally, LCM of Fractions for 49/10, 47/50, 336/914 is 55272.