Least Common Multiple of 965/112, 1297/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 965/112, 1297/448 quickly i.e. 1251605/112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 965/112, 1297/448 is 1251605/112.

LCM(965/112, 1297/448) = 1251605/112

LCM of 965/112, 1297/448

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 965/112,1297/448

Given numbers are 965/112,1297/448

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 965,1297

Least Common Multiple of Numerators i.e. LCM of 965,1297 is 1251605.

GCF of Denominators means GCF of 112,448 as per the given fractions.

GCF of 112,448 is 112 as it is the largest common factor for these numbers.

Lets's calculate LCM of 965,1297

LCM of Fractions 965/112,1297/448 is 1251605/112

Given numbers has no common factors except 1. So, there LCM is their product i.e 1251605

Least Common Multiple of 965,1297 with GCF Formula

Least Common Multiple of 965,1297 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 965,1297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,1297) = 1

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

GCF(965,1297) x common factors =1 x 1 = 1

LCM(965,1297) = ( 965 × 1297 ) / 1

LCM(965,1297) = 1251605 / 1

LCM(965,1297) = 1251605


Lets's calculate GCF of 112,448

2 112, 448
2 56, 224
2 28, 112
2 14, 56
7 7, 28
1, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1251605/112

Therefore the LCM of Fractions 965/112,1297/448 is 1251605/112

Greatest Common Factor of 112,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,448 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 112,448 . The biggest common factor number is the GCF number.
So the greatest common factor 112,448 is 112.


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 965/112, 1297/448

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 965/112, 1297/448?

Answer: LCM of Numerators as per given numbers 965/112, 1297/448 is

LCM of Numerators i.e. for 965,1297 is 1251605

GCF of denominators i.e. for 112,448 is 112.

Thus, LCM of Fractions is 1251605/112.Finally, LCM of Fractions for 965/112, 1297/448 is 1251605/112.