Least Common Multiple of 55/49, 85/82, 42/29, 96/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/49, 85/82, 42/29, 96/736 quickly i.e. 628320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/49, 85/82, 42/29, 96/736 is 628320.

LCM(55/49, 85/82, 42/29, 96/736) = 628320

LCM of 55/49, 85/82, 42/29, 96/736

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 55/49,85/82,42/29,96/736

Given numbers are 55/49,85/82,42/29,96/736

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 55,85,42,96

Least Common Multiple of Numerators i.e. LCM of 55,85,42,96 is 628320.

GCF of Denominators means GCF of 49,82,29,736 as per the given fractions.

GCF of 49,82,29,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,85,42,96

LCM of Fractions 55/49,85/82,42/29,96/736 is 628320

2 55, 85, 42, 96
3 55, 85, 21, 48
5 55, 85, 7, 16
11, 17, 7, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 17 x 7 x 16 = 628320

Least Common Multiple of 55,85,42,96 with GCF Formula

Least Common Multiple of 55,85,42,96 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 55,85,42,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,85,42,96) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(55,85,42,96) x common factors =1 x 30 = 30

LCM(55,85,42,96) = ( 55 × 85 × 42 × 96 ) / 30

LCM(55,85,42,96) = 18849600 / 30

LCM(55,85,42,96) = 628320


Lets's calculate GCF of 49,82,29,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628320/1

Therefore the LCM of Fractions 55/49,85/82,42/29,96/736 is 628320

Greatest Common Factor of 49,82,29,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,82,29,736 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 49,82,29,736 . The biggest common factor number is the GCF number.
So the greatest common factor 49,82,29,736 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 55/49, 85/82, 42/29, 96/736

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 55/49, 85/82, 42/29, 96/736?

Answer: LCM of Numerators as per given numbers 55/49, 85/82, 42/29, 96/736 is

LCM of Numerators i.e. for 55,85,42,96 is 628320

GCF of denominators i.e. for 49,82,29,736 is 1.

Thus, LCM of Fractions is 628320.Finally, LCM of Fractions for 55/49, 85/82, 42/29, 96/736 is 628320.