Least Common Multiple of 475/610, 9834/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 475/610, 9834/763 quickly i.e. 4671150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/610, 9834/763 is 4671150.

LCM(475/610, 9834/763) = 4671150

LCM of 475/610, 9834/763

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 475/610,9834/763

Given numbers are 475/610,9834/763

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 475,9834

Least Common Multiple of Numerators i.e. LCM of 475,9834 is 4671150.

GCF of Denominators means GCF of 610,763 as per the given fractions.

GCF of 610,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,9834

LCM of Fractions 475/610,9834/763 is 4671150

Given numbers has no common factors except 1. So, there LCM is their product i.e 4671150

Least Common Multiple of 475,9834 with GCF Formula

Least Common Multiple of 475,9834 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 475,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,9834) = 1

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

GCF(475,9834) x common factors =1 x 1 = 1

LCM(475,9834) = ( 475 × 9834 ) / 1

LCM(475,9834) = 4671150 / 1

LCM(475,9834) = 4671150


Lets's calculate GCF of 610,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4671150/1

Therefore the LCM of Fractions 475/610,9834/763 is 4671150

Greatest Common Factor of 610,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,763 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 610,763 . The biggest common factor number is the GCF number.
So the greatest common factor 610,763 is 1.


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 475/610, 9834/763

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 475/610, 9834/763?

Answer: LCM of Numerators as per given numbers 475/610, 9834/763 is

LCM of Numerators i.e. for 475,9834 is 4671150

GCF of denominators i.e. for 610,763 is 1.

Thus, LCM of Fractions is 4671150.Finally, LCM of Fractions for 475/610, 9834/763 is 4671150.