Least Common Multiple of 175/265, 224/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/265, 224/275 quickly i.e. 1120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/265, 224/275 is 1120.

LCM(175/265, 224/275) = 1120

LCM of 175/265, 224/275

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 175/265,224/275

Given numbers are 175/265,224/275

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 175,224

Least Common Multiple of Numerators i.e. LCM of 175,224 is 5600.

GCF of Denominators means GCF of 265,275 as per the given fractions.

GCF of 265,275 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,224

LCM of Fractions 175/265,224/275 is 1120

7 175, 224
25, 32

∴ So the LCM of the given numbers is 7 x 25 x 32 = 5600

Least Common Multiple of 175,224 with GCF Formula

Least Common Multiple of 175,224 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 175,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,224) = 7

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

GCF(175,224) x common factors =7 x 1 = 7

LCM(175,224) = ( 175 × 224 ) / 7

LCM(175,224) = 39200 / 7

LCM(175,224) = 5600


Lets's calculate GCF of 265,275

5 265, 275
53, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5600/5

Therefore the LCM of Fractions 175/265,224/275 is 1120

Greatest Common Factor of 265,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,275 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

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 265,275 . The biggest common factor number is the GCF number.
So the greatest common factor 265,275 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 175/265, 224/275

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 175/265, 224/275?

Answer: LCM of Numerators as per given numbers 175/265, 224/275 is

LCM of Numerators i.e. for 175,224 is 5600

GCF of denominators i.e. for 265,275 is 5.

Thus, LCM of Fractions is 1120.Finally, LCM of Fractions for 175/265, 224/275 is 1120.