Least Common Multiple of 11/92, 317/38, 507/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/92, 317/38, 507/123 quickly i.e. 1767909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/92, 317/38, 507/123 is 1767909.

LCM(11/92, 317/38, 507/123) = 1767909

LCM of 11/92, 317/38, 507/123

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 11/92,317/38,507/123

Given numbers are 11/92,317/38,507/123

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 11,317,507

Least Common Multiple of Numerators i.e. LCM of 11,317,507 is 1767909.

GCF of Denominators means GCF of 92,38,123 as per the given fractions.

GCF of 92,38,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,317,507

LCM of Fractions 11/92,317/38,507/123 is 1767909

Given numbers has no common factors except 1. So, there LCM is their product i.e 1767909

Least Common Multiple of 11,317,507 with GCF Formula

Least Common Multiple of 11,317,507 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 11,317,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,317,507) = 1

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

GCF(11,317,507) x common factors =1 x 1 = 1

LCM(11,317,507) = ( 11 × 317 × 507 ) / 1

LCM(11,317,507) = 1767909 / 1

LCM(11,317,507) = 1767909


Lets's calculate GCF of 92,38,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1767909/1

Therefore the LCM of Fractions 11/92,317/38,507/123 is 1767909

Greatest Common Factor of 92,38,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,38,123 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 92,38,123 . The biggest common factor number is the GCF number.
So the greatest common factor 92,38,123 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/92, 317/38, 507/123

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 11/92, 317/38, 507/123?

Answer: LCM of Numerators as per given numbers 11/92, 317/38, 507/123 is

LCM of Numerators i.e. for 11,317,507 is 1767909

GCF of denominators i.e. for 92,38,123 is 1.

Thus, LCM of Fractions is 1767909.Finally, LCM of Fractions for 11/92, 317/38, 507/123 is 1767909.