Least Common Multiple of 55/91, 14/10, 69/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/91, 14/10, 69/130 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/91, 14/10, 69/130 is 53130.

LCM(55/91, 14/10, 69/130) = 53130

LCM of 55/91, 14/10, 69/130

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 55/91,14/10,69/130

Given numbers are 55/91,14/10,69/130

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 55,14,69

Least Common Multiple of Numerators i.e. LCM of 55,14,69 is 53130.

GCF of Denominators means GCF of 91,10,130 as per the given fractions.

GCF of 91,10,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,14,69

LCM of Fractions 55/91,14/10,69/130 is 53130

Given numbers has no common factors except 1. So, there LCM is their product i.e 53130

Least Common Multiple of 55,14,69 with GCF Formula

Least Common Multiple of 55,14,69 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 55,14,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,14,69) = 1

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

GCF(55,14,69) x common factors =1 x 1 = 1

LCM(55,14,69) = ( 55 × 14 × 69 ) / 1

LCM(55,14,69) = 53130 / 1

LCM(55,14,69) = 53130


Lets's calculate GCF of 91,10,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53130/1

Therefore the LCM of Fractions 55/91,14/10,69/130 is 53130

Greatest Common Factor of 91,10,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,10,130 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 91,10,130 . The biggest common factor number is the GCF number.
So the greatest common factor 91,10,130 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/91, 14/10, 69/130

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 55/91, 14/10, 69/130?

Answer: LCM of Numerators as per given numbers 55/91, 14/10, 69/130 is

LCM of Numerators i.e. for 55,14,69 is 53130

GCF of denominators i.e. for 91,10,130 is 1.

Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 55/91, 14/10, 69/130 is 53130.