Least Common Multiple of 34/88, 97/18, 85/49, 11/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/88, 97/18, 85/49, 11/266 quickly i.e. 181390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/88, 97/18, 85/49, 11/266 is 181390.

LCM(34/88, 97/18, 85/49, 11/266) = 181390

LCM of 34/88, 97/18, 85/49, 11/266

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 34/88,97/18,85/49,11/266

Given numbers are 34/88,97/18,85/49,11/266

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 34,97,85,11

Least Common Multiple of Numerators i.e. LCM of 34,97,85,11 is 181390.

GCF of Denominators means GCF of 88,18,49,266 as per the given fractions.

GCF of 88,18,49,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,97,85,11

LCM of Fractions 34/88,97/18,85/49,11/266 is 181390

17 34, 97, 85, 11
2, 97, 5, 11

∴ So the LCM of the given numbers is 17 x 2 x 97 x 5 x 11 = 181390

Least Common Multiple of 34,97,85,11 with GCF Formula

Least Common Multiple of 34,97,85,11 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 34,97,85,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,97,85,11) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(34,97,85,11) x common factors =1 x 17 = 17

LCM(34,97,85,11) = ( 34 × 97 × 85 × 11 ) / 17

LCM(34,97,85,11) = 3083630 / 17

LCM(34,97,85,11) = 181390


Lets's calculate GCF of 88,18,49,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181390/1

Therefore the LCM of Fractions 34/88,97/18,85/49,11/266 is 181390

Greatest Common Factor of 88,18,49,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,18,49,266 By Matching Biggest Common Factor Method

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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 88,18,49,266 . The biggest common factor number is the GCF number.
So the greatest common factor 88,18,49,266 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 34/88, 97/18, 85/49, 11/266

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 34/88, 97/18, 85/49, 11/266?

Answer: LCM of Numerators as per given numbers 34/88, 97/18, 85/49, 11/266 is

LCM of Numerators i.e. for 34,97,85,11 is 181390

GCF of denominators i.e. for 88,18,49,266 is 1.

Thus, LCM of Fractions is 181390.Finally, LCM of Fractions for 34/88, 97/18, 85/49, 11/266 is 181390.