Least Common Multiple of 81/850, 9668/7414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/850, 9668/7414 quickly i.e. 391554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/850, 9668/7414 is 391554.

LCM(81/850, 9668/7414) = 391554

LCM of 81/850, 9668/7414

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 81/850,9668/7414

Given numbers are 81/850,9668/7414

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 81,9668

Least Common Multiple of Numerators i.e. LCM of 81,9668 is 783108.

GCF of Denominators means GCF of 850,7414 as per the given fractions.

GCF of 850,7414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,9668

LCM of Fractions 81/850,9668/7414 is 391554

Given numbers has no common factors except 1. So, there LCM is their product i.e 783108

Least Common Multiple of 81,9668 with GCF Formula

Least Common Multiple of 81,9668 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 81,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,9668) = 1

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

GCF(81,9668) x common factors =1 x 1 = 1

LCM(81,9668) = ( 81 × 9668 ) / 1

LCM(81,9668) = 783108 / 1

LCM(81,9668) = 783108


Lets's calculate GCF of 850,7414

2 850, 7414
425, 3707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 783108/2

Therefore the LCM of Fractions 81/850,9668/7414 is 391554

Greatest Common Factor of 850,7414 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,7414 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 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Greatest Common Factor

We found the factors 850,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 850,7414 is 2.


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 81/850, 9668/7414

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 81/850, 9668/7414?

Answer: LCM of Numerators as per given numbers 81/850, 9668/7414 is

LCM of Numerators i.e. for 81,9668 is 783108

GCF of denominators i.e. for 850,7414 is 2.

Thus, LCM of Fractions is 391554.Finally, LCM of Fractions for 81/850, 9668/7414 is 391554.