Least Common Multiple of 991/67, 824/44, 975/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 991/67, 824/44, 975/725 quickly i.e. 796169400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/67, 824/44, 975/725 is 796169400.

LCM(991/67, 824/44, 975/725) = 796169400

LCM of 991/67, 824/44, 975/725

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 991/67,824/44,975/725

Given numbers are 991/67,824/44,975/725

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 991,824,975

Least Common Multiple of Numerators i.e. LCM of 991,824,975 is 796169400.

GCF of Denominators means GCF of 67,44,725 as per the given fractions.

GCF of 67,44,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,824,975

LCM of Fractions 991/67,824/44,975/725 is 796169400

Given numbers has no common factors except 1. So, there LCM is their product i.e 796169400

Least Common Multiple of 991,824,975 with GCF Formula

Least Common Multiple of 991,824,975 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 991,824,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,824,975) = 1

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

GCF(991,824,975) x common factors =1 x 1 = 1

LCM(991,824,975) = ( 991 × 824 × 975 ) / 1

LCM(991,824,975) = 796169400 / 1

LCM(991,824,975) = 796169400


Lets's calculate GCF of 67,44,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796169400/1

Therefore the LCM of Fractions 991/67,824/44,975/725 is 796169400

Greatest Common Factor of 67,44,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,44,725 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 67,44,725 . The biggest common factor number is the GCF number.
So the greatest common factor 67,44,725 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 991/67, 824/44, 975/725

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 991/67, 824/44, 975/725?

Answer: LCM of Numerators as per given numbers 991/67, 824/44, 975/725 is

LCM of Numerators i.e. for 991,824,975 is 796169400

GCF of denominators i.e. for 67,44,725 is 1.

Thus, LCM of Fractions is 796169400.Finally, LCM of Fractions for 991/67, 824/44, 975/725 is 796169400.