Least Common Multiple of 47/85, 70/78, 219/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/85, 70/78, 219/141 quickly i.e. 720510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/85, 70/78, 219/141 is 720510.

LCM(47/85, 70/78, 219/141) = 720510

LCM of 47/85, 70/78, 219/141

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 47/85,70/78,219/141

Given numbers are 47/85,70/78,219/141

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 47,70,219

Least Common Multiple of Numerators i.e. LCM of 47,70,219 is 720510.

GCF of Denominators means GCF of 85,78,141 as per the given fractions.

GCF of 85,78,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,70,219

LCM of Fractions 47/85,70/78,219/141 is 720510

Given numbers has no common factors except 1. So, there LCM is their product i.e 720510

Least Common Multiple of 47,70,219 with GCF Formula

Least Common Multiple of 47,70,219 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 47,70,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,70,219) = 1

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

GCF(47,70,219) x common factors =1 x 1 = 1

LCM(47,70,219) = ( 47 × 70 × 219 ) / 1

LCM(47,70,219) = 720510 / 1

LCM(47,70,219) = 720510


Lets's calculate GCF of 85,78,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720510/1

Therefore the LCM of Fractions 47/85,70/78,219/141 is 720510

Greatest Common Factor of 85,78,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,78,141 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 85,78,141 . The biggest common factor number is the GCF number.
So the greatest common factor 85,78,141 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 47/85, 70/78, 219/141

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 47/85, 70/78, 219/141?

Answer: LCM of Numerators as per given numbers 47/85, 70/78, 219/141 is

LCM of Numerators i.e. for 47,70,219 is 720510

GCF of denominators i.e. for 85,78,141 is 1.

Thus, LCM of Fractions is 720510.Finally, LCM of Fractions for 47/85, 70/78, 219/141 is 720510.