Least Common Multiple of 733/974, 489/856, 769/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/974, 489/856, 769/245 quickly i.e. 275638053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/974, 489/856, 769/245 is 275638053.

LCM(733/974, 489/856, 769/245) = 275638053

LCM of 733/974, 489/856, 769/245

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 733/974,489/856,769/245

Given numbers are 733/974,489/856,769/245

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 733,489,769

Least Common Multiple of Numerators i.e. LCM of 733,489,769 is 275638053.

GCF of Denominators means GCF of 974,856,245 as per the given fractions.

GCF of 974,856,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,489,769

LCM of Fractions 733/974,489/856,769/245 is 275638053

Given numbers has no common factors except 1. So, there LCM is their product i.e 275638053

Least Common Multiple of 733,489,769 with GCF Formula

Least Common Multiple of 733,489,769 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 733,489,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,489,769) = 1

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

GCF(733,489,769) x common factors =1 x 1 = 1

LCM(733,489,769) = ( 733 × 489 × 769 ) / 1

LCM(733,489,769) = 275638053 / 1

LCM(733,489,769) = 275638053


Lets's calculate GCF of 974,856,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275638053/1

Therefore the LCM of Fractions 733/974,489/856,769/245 is 275638053

Greatest Common Factor of 974,856,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,856,245 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 974,856,245 . The biggest common factor number is the GCF number.
So the greatest common factor 974,856,245 is 1.


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 733/974, 489/856, 769/245

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 733/974, 489/856, 769/245?

Answer: LCM of Numerators as per given numbers 733/974, 489/856, 769/245 is

LCM of Numerators i.e. for 733,489,769 is 275638053

GCF of denominators i.e. for 974,856,245 is 1.

Thus, LCM of Fractions is 275638053.Finally, LCM of Fractions for 733/974, 489/856, 769/245 is 275638053.