Least Common Multiple of 11/78, 195/62, 170/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/78, 195/62, 170/684 quickly i.e. 36465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/78, 195/62, 170/684 is 36465.

LCM(11/78, 195/62, 170/684) = 36465

LCM of 11/78, 195/62, 170/684

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 11/78,195/62,170/684

Given numbers are 11/78,195/62,170/684

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 11,195,170

Least Common Multiple of Numerators i.e. LCM of 11,195,170 is 72930.

GCF of Denominators means GCF of 78,62,684 as per the given fractions.

GCF of 78,62,684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,195,170

LCM of Fractions 11/78,195/62,170/684 is 36465

5 11, 195, 170
11, 39, 34

∴ So the LCM of the given numbers is 5 x 11 x 39 x 34 = 72930

Least Common Multiple of 11,195,170 with GCF Formula

Least Common Multiple of 11,195,170 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 11,195,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,195,170) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(11,195,170) x common factors =1 x 5 = 5

LCM(11,195,170) = ( 11 × 195 × 170 ) / 5

LCM(11,195,170) = 364650 / 5

LCM(11,195,170) = 72930


Lets's calculate GCF of 78,62,684

2 78, 62, 684
39, 31, 342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72930/2

Therefore the LCM of Fractions 11/78,195/62,170/684 is 36465

Greatest Common Factor of 78,62,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,62,684 By Matching Biggest Common Factor Method

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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 78,62,684 . The biggest common factor number is the GCF number.
So the greatest common factor 78,62,684 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 11/78, 195/62, 170/684

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 11/78, 195/62, 170/684?

Answer: LCM of Numerators as per given numbers 11/78, 195/62, 170/684 is

LCM of Numerators i.e. for 11,195,170 is 72930

GCF of denominators i.e. for 78,62,684 is 2.

Thus, LCM of Fractions is 36465.Finally, LCM of Fractions for 11/78, 195/62, 170/684 is 36465.