Least Common Multiple of 972/69, 319/4285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/69, 319/4285 quickly i.e. 310068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/69, 319/4285 is 310068.

LCM(972/69, 319/4285) = 310068

LCM of 972/69, 319/4285

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 972/69,319/4285

Given numbers are 972/69,319/4285

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 972,319

Least Common Multiple of Numerators i.e. LCM of 972,319 is 310068.

GCF of Denominators means GCF of 69,4285 as per the given fractions.

GCF of 69,4285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,319

LCM of Fractions 972/69,319/4285 is 310068

Given numbers has no common factors except 1. So, there LCM is their product i.e 310068

Least Common Multiple of 972,319 with GCF Formula

Least Common Multiple of 972,319 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 972,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,319) = 1

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

GCF(972,319) x common factors =1 x 1 = 1

LCM(972,319) = ( 972 × 319 ) / 1

LCM(972,319) = 310068 / 1

LCM(972,319) = 310068


Lets's calculate GCF of 69,4285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310068/1

Therefore the LCM of Fractions 972/69,319/4285 is 310068

Greatest Common Factor of 69,4285 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,4285 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 4285

List of positive integer factors of 4285 that divides 4285 without a remainder.

1,5,857,4285

Greatest Common Factor

We found the factors 69,4285 . The biggest common factor number is the GCF number.
So the greatest common factor 69,4285 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 972/69, 319/4285

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 972/69, 319/4285?

Answer: LCM of Numerators as per given numbers 972/69, 319/4285 is

LCM of Numerators i.e. for 972,319 is 310068

GCF of denominators i.e. for 69,4285 is 1.

Thus, LCM of Fractions is 310068.Finally, LCM of Fractions for 972/69, 319/4285 is 310068.