Least Common Multiple of 75/991, 41/597, 391/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 75/991, 41/597, 391/335 quickly i.e. 1202325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/991, 41/597, 391/335 is 1202325.

LCM(75/991, 41/597, 391/335) = 1202325

LCM of 75/991, 41/597, 391/335

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 75/991,41/597,391/335

Given numbers are 75/991,41/597,391/335

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 75,41,391

Least Common Multiple of Numerators i.e. LCM of 75,41,391 is 1202325.

GCF of Denominators means GCF of 991,597,335 as per the given fractions.

GCF of 991,597,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,41,391

LCM of Fractions 75/991,41/597,391/335 is 1202325

Given numbers has no common factors except 1. So, there LCM is their product i.e 1202325

Least Common Multiple of 75,41,391 with GCF Formula

Least Common Multiple of 75,41,391 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 75,41,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,41,391) = 1

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

GCF(75,41,391) x common factors =1 x 1 = 1

LCM(75,41,391) = ( 75 × 41 × 391 ) / 1

LCM(75,41,391) = 1202325 / 1

LCM(75,41,391) = 1202325


Lets's calculate GCF of 991,597,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202325/1

Therefore the LCM of Fractions 75/991,41/597,391/335 is 1202325

Greatest Common Factor of 991,597,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,597,335 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 991,597,335 . The biggest common factor number is the GCF number.
So the greatest common factor 991,597,335 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 75/991, 41/597, 391/335

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 75/991, 41/597, 391/335?

Answer: LCM of Numerators as per given numbers 75/991, 41/597, 391/335 is

LCM of Numerators i.e. for 75,41,391 is 1202325

GCF of denominators i.e. for 991,597,335 is 1.

Thus, LCM of Fractions is 1202325.Finally, LCM of Fractions for 75/991, 41/597, 391/335 is 1202325.