Least Common Multiple of 892/965, 650/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/965, 650/200 quickly i.e. 57980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/965, 650/200 is 57980.

LCM(892/965, 650/200) = 57980

LCM of 892/965, 650/200

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 892/965,650/200

Given numbers are 892/965,650/200

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 892,650

Least Common Multiple of Numerators i.e. LCM of 892,650 is 289900.

GCF of Denominators means GCF of 965,200 as per the given fractions.

GCF of 965,200 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,650

LCM of Fractions 892/965,650/200 is 57980

2 892, 650
446, 325

∴ So the LCM of the given numbers is 2 x 446 x 325 = 289900

Least Common Multiple of 892,650 with GCF Formula

Least Common Multiple of 892,650 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 892,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,650) = 2

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

GCF(892,650) x common factors =2 x 1 = 2

LCM(892,650) = ( 892 × 650 ) / 2

LCM(892,650) = 579800 / 2

LCM(892,650) = 289900


Lets's calculate GCF of 965,200

5 965, 200
193, 40

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289900/5

Therefore the LCM of Fractions 892/965,650/200 is 57980

Greatest Common Factor of 965,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,200 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 965,200 . The biggest common factor number is the GCF number.
So the greatest common factor 965,200 is 5.


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 892/965, 650/200

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 892/965, 650/200?

Answer: LCM of Numerators as per given numbers 892/965, 650/200 is

LCM of Numerators i.e. for 892,650 is 289900

GCF of denominators i.e. for 965,200 is 5.

Thus, LCM of Fractions is 57980.Finally, LCM of Fractions for 892/965, 650/200 is 57980.