Least Common Multiple of 68/44, 98/46, 87/81, 42/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/44, 98/46, 87/81, 42/677 quickly i.e. 289884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/44, 98/46, 87/81, 42/677 is 289884.

LCM(68/44, 98/46, 87/81, 42/677) = 289884

LCM of 68/44, 98/46, 87/81, 42/677

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 68/44,98/46,87/81,42/677

Given numbers are 68/44,98/46,87/81,42/677

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 68,98,87,42

Least Common Multiple of Numerators i.e. LCM of 68,98,87,42 is 289884.

GCF of Denominators means GCF of 44,46,81,677 as per the given fractions.

GCF of 44,46,81,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,98,87,42

LCM of Fractions 68/44,98/46,87/81,42/677 is 289884

2 68, 98, 87, 42
3 34, 49, 87, 21
7 34, 49, 29, 7
34, 1, 29, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 34 x 1 x 29 x 7 = 289884

Least Common Multiple of 68,98,87,42 with GCF Formula

Least Common Multiple of 68,98,87,42 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 68,98,87,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,98,87,42) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(68,98,87,42) x common factors =1 x 84 = 84

LCM(68,98,87,42) = ( 68 × 98 × 87 × 42 ) / 84

LCM(68,98,87,42) = 24350256 / 84

LCM(68,98,87,42) = 289884


Lets's calculate GCF of 44,46,81,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289884/1

Therefore the LCM of Fractions 68/44,98/46,87/81,42/677 is 289884

Greatest Common Factor of 44,46,81,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,46,81,677 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 44,46,81,677 . The biggest common factor number is the GCF number.
So the greatest common factor 44,46,81,677 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 68/44, 98/46, 87/81, 42/677

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 68/44, 98/46, 87/81, 42/677?

Answer: LCM of Numerators as per given numbers 68/44, 98/46, 87/81, 42/677 is

LCM of Numerators i.e. for 68,98,87,42 is 289884

GCF of denominators i.e. for 44,46,81,677 is 1.

Thus, LCM of Fractions is 289884.Finally, LCM of Fractions for 68/44, 98/46, 87/81, 42/677 is 289884.