Least Common Multiple of 7/349, 53/584, 55/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/349, 53/584, 55/140 quickly i.e. 20405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/349, 53/584, 55/140 is 20405.

LCM(7/349, 53/584, 55/140) = 20405

LCM of 7/349, 53/584, 55/140

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 7/349,53/584,55/140

Given numbers are 7/349,53/584,55/140

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 7,53,55

Least Common Multiple of Numerators i.e. LCM of 7,53,55 is 20405.

GCF of Denominators means GCF of 349,584,140 as per the given fractions.

GCF of 349,584,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,53,55

LCM of Fractions 7/349,53/584,55/140 is 20405

Given numbers has no common factors except 1. So, there LCM is their product i.e 20405

Least Common Multiple of 7,53,55 with GCF Formula

Least Common Multiple of 7,53,55 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 7,53,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,53,55) = 1

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

GCF(7,53,55) x common factors =1 x 1 = 1

LCM(7,53,55) = ( 7 × 53 × 55 ) / 1

LCM(7,53,55) = 20405 / 1

LCM(7,53,55) = 20405


Lets's calculate GCF of 349,584,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20405/1

Therefore the LCM of Fractions 7/349,53/584,55/140 is 20405

Greatest Common Factor of 349,584,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,584,140 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 349,584,140 . The biggest common factor number is the GCF number.
So the greatest common factor 349,584,140 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 7/349, 53/584, 55/140

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 7/349, 53/584, 55/140?

Answer: LCM of Numerators as per given numbers 7/349, 53/584, 55/140 is

LCM of Numerators i.e. for 7,53,55 is 20405

GCF of denominators i.e. for 349,584,140 is 1.

Thus, LCM of Fractions is 20405.Finally, LCM of Fractions for 7/349, 53/584, 55/140 is 20405.