Least Common Multiple of 91/42, 55/40, 69/17, 89/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/42, 55/40, 69/17, 89/735 quickly i.e. 30735705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/42, 55/40, 69/17, 89/735 is 30735705.

LCM(91/42, 55/40, 69/17, 89/735) = 30735705

LCM of 91/42, 55/40, 69/17, 89/735

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 91/42,55/40,69/17,89/735

Given numbers are 91/42,55/40,69/17,89/735

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 91,55,69,89

Least Common Multiple of Numerators i.e. LCM of 91,55,69,89 is 30735705.

GCF of Denominators means GCF of 42,40,17,735 as per the given fractions.

GCF of 42,40,17,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,55,69,89

LCM of Fractions 91/42,55/40,69/17,89/735 is 30735705

Given numbers has no common factors except 1. So, there LCM is their product i.e 30735705

Least Common Multiple of 91,55,69,89 with GCF Formula

Least Common Multiple of 91,55,69,89 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 91,55,69,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,55,69,89) = 1

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

GCF(91,55,69,89) x common factors =1 x 1 = 1

LCM(91,55,69,89) = ( 91 × 55 × 69 × 89 ) / 1

LCM(91,55,69,89) = 30735705 / 1

LCM(91,55,69,89) = 30735705


Lets's calculate GCF of 42,40,17,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30735705/1

Therefore the LCM of Fractions 91/42,55/40,69/17,89/735 is 30735705

Greatest Common Factor of 42,40,17,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,40,17,735 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 42,40,17,735 . The biggest common factor number is the GCF number.
So the greatest common factor 42,40,17,735 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 91/42, 55/40, 69/17, 89/735

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 91/42, 55/40, 69/17, 89/735?

Answer: LCM of Numerators as per given numbers 91/42, 55/40, 69/17, 89/735 is

LCM of Numerators i.e. for 91,55,69,89 is 30735705

GCF of denominators i.e. for 42,40,17,735 is 1.

Thus, LCM of Fractions is 30735705.Finally, LCM of Fractions for 91/42, 55/40, 69/17, 89/735 is 30735705.