Least Common Multiple of 47/496, 78/219, 337/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/496, 78/219, 337/954 quickly i.e. 1235442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/496, 78/219, 337/954 is 1235442.

LCM(47/496, 78/219, 337/954) = 1235442

LCM of 47/496, 78/219, 337/954

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 47/496,78/219,337/954

Given numbers are 47/496,78/219,337/954

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 47,78,337

Least Common Multiple of Numerators i.e. LCM of 47,78,337 is 1235442.

GCF of Denominators means GCF of 496,219,954 as per the given fractions.

GCF of 496,219,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,78,337

LCM of Fractions 47/496,78/219,337/954 is 1235442

Given numbers has no common factors except 1. So, there LCM is their product i.e 1235442

Least Common Multiple of 47,78,337 with GCF Formula

Least Common Multiple of 47,78,337 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 47,78,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,78,337) = 1

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

GCF(47,78,337) x common factors =1 x 1 = 1

LCM(47,78,337) = ( 47 × 78 × 337 ) / 1

LCM(47,78,337) = 1235442 / 1

LCM(47,78,337) = 1235442


Lets's calculate GCF of 496,219,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1235442/1

Therefore the LCM of Fractions 47/496,78/219,337/954 is 1235442

Greatest Common Factor of 496,219,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,219,954 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 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 496,219,954 . The biggest common factor number is the GCF number.
So the greatest common factor 496,219,954 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 47/496, 78/219, 337/954

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 47/496, 78/219, 337/954?

Answer: LCM of Numerators as per given numbers 47/496, 78/219, 337/954 is

LCM of Numerators i.e. for 47,78,337 is 1235442

GCF of denominators i.e. for 496,219,954 is 1.

Thus, LCM of Fractions is 1235442.Finally, LCM of Fractions for 47/496, 78/219, 337/954 is 1235442.