Least Common Multiple of 829/962, 1275/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/962, 1275/275 quickly i.e. 1056975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/962, 1275/275 is 1056975.

LCM(829/962, 1275/275) = 1056975

LCM of 829/962, 1275/275

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 829/962,1275/275

Given numbers are 829/962,1275/275

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 829,1275

Least Common Multiple of Numerators i.e. LCM of 829,1275 is 1056975.

GCF of Denominators means GCF of 962,275 as per the given fractions.

GCF of 962,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,1275

LCM of Fractions 829/962,1275/275 is 1056975

Given numbers has no common factors except 1. So, there LCM is their product i.e 1056975

Least Common Multiple of 829,1275 with GCF Formula

Least Common Multiple of 829,1275 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 829,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,1275) = 1

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

GCF(829,1275) x common factors =1 x 1 = 1

LCM(829,1275) = ( 829 × 1275 ) / 1

LCM(829,1275) = 1056975 / 1

LCM(829,1275) = 1056975


Lets's calculate GCF of 962,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1056975/1

Therefore the LCM of Fractions 829/962,1275/275 is 1056975

Greatest Common Factor of 962,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,275 By Matching Biggest Common Factor Method

Factors of 962

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

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

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 962,275 . The biggest common factor number is the GCF number.
So the greatest common factor 962,275 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 829/962, 1275/275

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 829/962, 1275/275?

Answer: LCM of Numerators as per given numbers 829/962, 1275/275 is

LCM of Numerators i.e. for 829,1275 is 1056975

GCF of denominators i.e. for 962,275 is 1.

Thus, LCM of Fractions is 1056975.Finally, LCM of Fractions for 829/962, 1275/275 is 1056975.