Least Common Multiple of 345/85, 709/34, 878/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/85, 709/34, 878/293 quickly i.e. 214763190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/85, 709/34, 878/293 is 214763190.

LCM(345/85, 709/34, 878/293) = 214763190

LCM of 345/85, 709/34, 878/293

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 345/85,709/34,878/293

Given numbers are 345/85,709/34,878/293

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 345,709,878

Least Common Multiple of Numerators i.e. LCM of 345,709,878 is 214763190.

GCF of Denominators means GCF of 85,34,293 as per the given fractions.

GCF of 85,34,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,709,878

LCM of Fractions 345/85,709/34,878/293 is 214763190

Given numbers has no common factors except 1. So, there LCM is their product i.e 214763190

Least Common Multiple of 345,709,878 with GCF Formula

Least Common Multiple of 345,709,878 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 345,709,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,709,878) = 1

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

GCF(345,709,878) x common factors =1 x 1 = 1

LCM(345,709,878) = ( 345 × 709 × 878 ) / 1

LCM(345,709,878) = 214763190 / 1

LCM(345,709,878) = 214763190


Lets's calculate GCF of 85,34,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214763190/1

Therefore the LCM of Fractions 345/85,709/34,878/293 is 214763190

Greatest Common Factor of 85,34,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,34,293 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 85,34,293 . The biggest common factor number is the GCF number.
So the greatest common factor 85,34,293 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 345/85, 709/34, 878/293

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 345/85, 709/34, 878/293?

Answer: LCM of Numerators as per given numbers 345/85, 709/34, 878/293 is

LCM of Numerators i.e. for 345,709,878 is 214763190

GCF of denominators i.e. for 85,34,293 is 1.

Thus, LCM of Fractions is 214763190.Finally, LCM of Fractions for 345/85, 709/34, 878/293 is 214763190.