Least Common Multiple of 770/185, 9729/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/185, 9729/835 quickly i.e. 1498266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/185, 9729/835 is 1498266.

LCM(770/185, 9729/835) = 1498266

LCM of 770/185, 9729/835

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 770/185,9729/835

Given numbers are 770/185,9729/835

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 770,9729

Least Common Multiple of Numerators i.e. LCM of 770,9729 is 7491330.

GCF of Denominators means GCF of 185,835 as per the given fractions.

GCF of 185,835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,9729

LCM of Fractions 770/185,9729/835 is 1498266

Given numbers has no common factors except 1. So, there LCM is their product i.e 7491330

Least Common Multiple of 770,9729 with GCF Formula

Least Common Multiple of 770,9729 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 770,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,9729) = 1

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

GCF(770,9729) x common factors =1 x 1 = 1

LCM(770,9729) = ( 770 × 9729 ) / 1

LCM(770,9729) = 7491330 / 1

LCM(770,9729) = 7491330


Lets's calculate GCF of 185,835

5 185, 835
37, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7491330/5

Therefore the LCM of Fractions 770/185,9729/835 is 1498266

Greatest Common Factor of 185,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,835 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 185,835 . The biggest common factor number is the GCF number.
So the greatest common factor 185,835 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 770/185, 9729/835

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 770/185, 9729/835?

Answer: LCM of Numerators as per given numbers 770/185, 9729/835 is

LCM of Numerators i.e. for 770,9729 is 7491330

GCF of denominators i.e. for 185,835 is 5.

Thus, LCM of Fractions is 1498266.Finally, LCM of Fractions for 770/185, 9729/835 is 1498266.