Least Common Multiple of 69/38, 17/48, 974/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/38, 17/48, 974/867 quickly i.e. 1142502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/38, 17/48, 974/867 is 1142502.

LCM(69/38, 17/48, 974/867) = 1142502

LCM of 69/38, 17/48, 974/867

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 69/38,17/48,974/867

Given numbers are 69/38,17/48,974/867

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 69,17,974

Least Common Multiple of Numerators i.e. LCM of 69,17,974 is 1142502.

GCF of Denominators means GCF of 38,48,867 as per the given fractions.

GCF of 38,48,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,17,974

LCM of Fractions 69/38,17/48,974/867 is 1142502

Given numbers has no common factors except 1. So, there LCM is their product i.e 1142502

Least Common Multiple of 69,17,974 with GCF Formula

Least Common Multiple of 69,17,974 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 69,17,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,17,974) = 1

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

GCF(69,17,974) x common factors =1 x 1 = 1

LCM(69,17,974) = ( 69 × 17 × 974 ) / 1

LCM(69,17,974) = 1142502 / 1

LCM(69,17,974) = 1142502


Lets's calculate GCF of 38,48,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142502/1

Therefore the LCM of Fractions 69/38,17/48,974/867 is 1142502

Greatest Common Factor of 38,48,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,48,867 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 38,48,867 . The biggest common factor number is the GCF number.
So the greatest common factor 38,48,867 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/38, 17/48, 974/867

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 69/38, 17/48, 974/867?

Answer: LCM of Numerators as per given numbers 69/38, 17/48, 974/867 is

LCM of Numerators i.e. for 69,17,974 is 1142502

GCF of denominators i.e. for 38,48,867 is 1.

Thus, LCM of Fractions is 1142502.Finally, LCM of Fractions for 69/38, 17/48, 974/867 is 1142502.