Least Common Multiple of 921/850, 460/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 921/850, 460/962 quickly i.e. 211830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 921/850, 460/962 is 211830.

LCM(921/850, 460/962) = 211830

LCM of 921/850, 460/962

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 921/850,460/962

Given numbers are 921/850,460/962

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 921,460

Least Common Multiple of Numerators i.e. LCM of 921,460 is 423660.

GCF of Denominators means GCF of 850,962 as per the given fractions.

GCF of 850,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 921,460

LCM of Fractions 921/850,460/962 is 211830

Given numbers has no common factors except 1. So, there LCM is their product i.e 423660

Least Common Multiple of 921,460 with GCF Formula

Least Common Multiple of 921,460 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 921,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,460) = 1

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

GCF(921,460) x common factors =1 x 1 = 1

LCM(921,460) = ( 921 × 460 ) / 1

LCM(921,460) = 423660 / 1

LCM(921,460) = 423660


Lets's calculate GCF of 850,962

2 850, 962
425, 481

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423660/2

Therefore the LCM of Fractions 921/850,460/962 is 211830

Greatest Common Factor of 850,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,962 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 850,962 . The biggest common factor number is the GCF number.
So the greatest common factor 850,962 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 921/850, 460/962

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 921/850, 460/962?

Answer: LCM of Numerators as per given numbers 921/850, 460/962 is

LCM of Numerators i.e. for 921,460 is 423660

GCF of denominators i.e. for 850,962 is 2.

Thus, LCM of Fractions is 211830.Finally, LCM of Fractions for 921/850, 460/962 is 211830.