Least Common Multiple of 55/507, 19/945, 696/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/507, 19/945, 696/134 quickly i.e. 727320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/507, 19/945, 696/134 is 727320.

LCM(55/507, 19/945, 696/134) = 727320

LCM of 55/507, 19/945, 696/134

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 55/507,19/945,696/134

Given numbers are 55/507,19/945,696/134

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 55,19,696

Least Common Multiple of Numerators i.e. LCM of 55,19,696 is 727320.

GCF of Denominators means GCF of 507,945,134 as per the given fractions.

GCF of 507,945,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,19,696

LCM of Fractions 55/507,19/945,696/134 is 727320

Given numbers has no common factors except 1. So, there LCM is their product i.e 727320

Least Common Multiple of 55,19,696 with GCF Formula

Least Common Multiple of 55,19,696 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 55,19,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,19,696) = 1

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

GCF(55,19,696) x common factors =1 x 1 = 1

LCM(55,19,696) = ( 55 × 19 × 696 ) / 1

LCM(55,19,696) = 727320 / 1

LCM(55,19,696) = 727320


Lets's calculate GCF of 507,945,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 727320/1

Therefore the LCM of Fractions 55/507,19/945,696/134 is 727320

Greatest Common Factor of 507,945,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,945,134 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 507,945,134 . The biggest common factor number is the GCF number.
So the greatest common factor 507,945,134 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/507, 19/945, 696/134

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 55/507, 19/945, 696/134?

Answer: LCM of Numerators as per given numbers 55/507, 19/945, 696/134 is

LCM of Numerators i.e. for 55,19,696 is 727320

GCF of denominators i.e. for 507,945,134 is 1.

Thus, LCM of Fractions is 727320.Finally, LCM of Fractions for 55/507, 19/945, 696/134 is 727320.