Least Common Multiple of 92/68, 49/52, 69/99, 78/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/68, 49/52, 69/99, 78/206 quickly i.e. 175812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/68, 49/52, 69/99, 78/206 is 175812.

LCM(92/68, 49/52, 69/99, 78/206) = 175812

LCM of 92/68, 49/52, 69/99, 78/206

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 92/68,49/52,69/99,78/206

Given numbers are 92/68,49/52,69/99,78/206

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 92,49,69,78

Least Common Multiple of Numerators i.e. LCM of 92,49,69,78 is 175812.

GCF of Denominators means GCF of 68,52,99,206 as per the given fractions.

GCF of 68,52,99,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,49,69,78

LCM of Fractions 92/68,49/52,69/99,78/206 is 175812

2 92, 49, 69, 78
3 46, 49, 69, 39
23 46, 49, 23, 13
2, 49, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 23 x 2 x 49 x 1 x 13 = 175812

Least Common Multiple of 92,49,69,78 with GCF Formula

Least Common Multiple of 92,49,69,78 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 92,49,69,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,49,69,78) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(92,49,69,78) x common factors =1 x 138 = 138

LCM(92,49,69,78) = ( 92 × 49 × 69 × 78 ) / 138

LCM(92,49,69,78) = 24262056 / 138

LCM(92,49,69,78) = 175812


Lets's calculate GCF of 68,52,99,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175812/1

Therefore the LCM of Fractions 92/68,49/52,69/99,78/206 is 175812

Greatest Common Factor of 68,52,99,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,52,99,206 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 68,52,99,206 . The biggest common factor number is the GCF number.
So the greatest common factor 68,52,99,206 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 92/68, 49/52, 69/99, 78/206

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 92/68, 49/52, 69/99, 78/206?

Answer: LCM of Numerators as per given numbers 92/68, 49/52, 69/99, 78/206 is

LCM of Numerators i.e. for 92,49,69,78 is 175812

GCF of denominators i.e. for 68,52,99,206 is 1.

Thus, LCM of Fractions is 175812.Finally, LCM of Fractions for 92/68, 49/52, 69/99, 78/206 is 175812.