Least Common Multiple of 49/332, 28/278, 447/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/332, 28/278, 447/158 quickly i.e. 43806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/332, 28/278, 447/158 is 43806.

LCM(49/332, 28/278, 447/158) = 43806

LCM of 49/332, 28/278, 447/158

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 49/332,28/278,447/158

Given numbers are 49/332,28/278,447/158

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 49,28,447

Least Common Multiple of Numerators i.e. LCM of 49,28,447 is 87612.

GCF of Denominators means GCF of 332,278,158 as per the given fractions.

GCF of 332,278,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,28,447

LCM of Fractions 49/332,28/278,447/158 is 43806

7 49, 28, 447
7, 4, 447

∴ So the LCM of the given numbers is 7 x 7 x 4 x 447 = 87612

Least Common Multiple of 49,28,447 with GCF Formula

Least Common Multiple of 49,28,447 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 49,28,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,28,447) = 1

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

GCF(49,28,447) x common factors =1 x 7 = 7

LCM(49,28,447) = ( 49 × 28 × 447 ) / 7

LCM(49,28,447) = 613284 / 7

LCM(49,28,447) = 87612


Lets's calculate GCF of 332,278,158

2 332, 278, 158
166, 139, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87612/2

Therefore the LCM of Fractions 49/332,28/278,447/158 is 43806

Greatest Common Factor of 332,278,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,278,158 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 332,278,158 . The biggest common factor number is the GCF number.
So the greatest common factor 332,278,158 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 49/332, 28/278, 447/158

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 49/332, 28/278, 447/158?

Answer: LCM of Numerators as per given numbers 49/332, 28/278, 447/158 is

LCM of Numerators i.e. for 49,28,447 is 87612

GCF of denominators i.e. for 332,278,158 is 2.

Thus, LCM of Fractions is 43806.Finally, LCM of Fractions for 49/332, 28/278, 447/158 is 43806.