Least Common Multiple of 44/245, 6299/1375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/245, 6299/1375 quickly i.e. 277156/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/245, 6299/1375 is 277156/5.

LCM(44/245, 6299/1375) = 277156/5

LCM of 44/245, 6299/1375

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 44/245,6299/1375

Given numbers are 44/245,6299/1375

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 44,6299

Least Common Multiple of Numerators i.e. LCM of 44,6299 is 277156.

GCF of Denominators means GCF of 245,1375 as per the given fractions.

GCF of 245,1375 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,6299

LCM of Fractions 44/245,6299/1375 is 277156/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 277156

Least Common Multiple of 44,6299 with GCF Formula

Least Common Multiple of 44,6299 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 44,6299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,6299) = 1

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

GCF(44,6299) x common factors =1 x 1 = 1

LCM(44,6299) = ( 44 × 6299 ) / 1

LCM(44,6299) = 277156 / 1

LCM(44,6299) = 277156


Lets's calculate GCF of 245,1375

5 245, 1375
49, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277156/5

Therefore the LCM of Fractions 44/245,6299/1375 is 277156/5

Greatest Common Factor of 245,1375 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,1375 By Matching Biggest Common Factor Method

Factors of 245

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

1,5,7,35,49,245

Factors of 1375

List of positive integer factors of 1375 that divides 1375 without a remainder.

1,5,11,25,55,125,275,1375

Greatest Common Factor

We found the factors 245,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 245,1375 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 44/245, 6299/1375

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 44/245, 6299/1375?

Answer: LCM of Numerators as per given numbers 44/245, 6299/1375 is

LCM of Numerators i.e. for 44,6299 is 277156

GCF of denominators i.e. for 245,1375 is 5.

Thus, LCM of Fractions is 277156/5.Finally, LCM of Fractions for 44/245, 6299/1375 is 277156/5.