Least Common Multiple of 17/14, 84/88, 35/76, 77/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/14, 84/88, 35/76, 77/274 quickly i.e. 39270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/14, 84/88, 35/76, 77/274 is 39270.

LCM(17/14, 84/88, 35/76, 77/274) = 39270

LCM of 17/14, 84/88, 35/76, 77/274

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 17/14,84/88,35/76,77/274

Given numbers are 17/14,84/88,35/76,77/274

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 17,84,35,77

Least Common Multiple of Numerators i.e. LCM of 17,84,35,77 is 78540.

GCF of Denominators means GCF of 14,88,76,274 as per the given fractions.

GCF of 14,88,76,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,84,35,77

LCM of Fractions 17/14,84/88,35/76,77/274 is 39270

7 17, 84, 35, 77
17, 12, 5, 11

∴ So the LCM of the given numbers is 7 x 17 x 12 x 5 x 11 = 78540

Least Common Multiple of 17,84,35,77 with GCF Formula

Least Common Multiple of 17,84,35,77 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 17,84,35,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,84,35,77) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(17,84,35,77) x common factors =1 x 49 = 49

LCM(17,84,35,77) = ( 17 × 84 × 35 × 77 ) / 49

LCM(17,84,35,77) = 3848460 / 49

LCM(17,84,35,77) = 78540


Lets's calculate GCF of 14,88,76,274

2 14, 88, 76, 274
7, 44, 38, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78540/2

Therefore the LCM of Fractions 17/14,84/88,35/76,77/274 is 39270

Greatest Common Factor of 14,88,76,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,88,76,274 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 14,88,76,274 . The biggest common factor number is the GCF number.
So the greatest common factor 14,88,76,274 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 17/14, 84/88, 35/76, 77/274

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 17/14, 84/88, 35/76, 77/274?

Answer: LCM of Numerators as per given numbers 17/14, 84/88, 35/76, 77/274 is

LCM of Numerators i.e. for 17,84,35,77 is 78540

GCF of denominators i.e. for 14,88,76,274 is 2.

Thus, LCM of Fractions is 39270.Finally, LCM of Fractions for 17/14, 84/88, 35/76, 77/274 is 39270.