Least Common Multiple of 61/351, 35/597, 447/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/351, 35/597, 447/665 quickly i.e. 954345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/351, 35/597, 447/665 is 954345.

LCM(61/351, 35/597, 447/665) = 954345

LCM of 61/351, 35/597, 447/665

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 61/351,35/597,447/665

Given numbers are 61/351,35/597,447/665

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 61,35,447

Least Common Multiple of Numerators i.e. LCM of 61,35,447 is 954345.

GCF of Denominators means GCF of 351,597,665 as per the given fractions.

GCF of 351,597,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,35,447

LCM of Fractions 61/351,35/597,447/665 is 954345

Given numbers has no common factors except 1. So, there LCM is their product i.e 954345

Least Common Multiple of 61,35,447 with GCF Formula

Least Common Multiple of 61,35,447 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 61,35,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,35,447) = 1

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

GCF(61,35,447) x common factors =1 x 1 = 1

LCM(61,35,447) = ( 61 × 35 × 447 ) / 1

LCM(61,35,447) = 954345 / 1

LCM(61,35,447) = 954345


Lets's calculate GCF of 351,597,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954345/1

Therefore the LCM of Fractions 61/351,35/597,447/665 is 954345

Greatest Common Factor of 351,597,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,597,665 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 597

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

1,3,199,597

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 351,597,665 . The biggest common factor number is the GCF number.
So the greatest common factor 351,597,665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/351, 35/597, 447/665

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 61/351, 35/597, 447/665?

Answer: LCM of Numerators as per given numbers 61/351, 35/597, 447/665 is

LCM of Numerators i.e. for 61,35,447 is 954345

GCF of denominators i.e. for 351,597,665 is 1.

Thus, LCM of Fractions is 954345.Finally, LCM of Fractions for 61/351, 35/597, 447/665 is 954345.