Least Common Multiple of 326/765, 261/947, 343/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 326/765, 261/947, 343/622 quickly i.e. 29184498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/765, 261/947, 343/622 is 29184498.

LCM(326/765, 261/947, 343/622) = 29184498

LCM of 326/765, 261/947, 343/622

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 326/765,261/947,343/622

Given numbers are 326/765,261/947,343/622

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 326,261,343

Least Common Multiple of Numerators i.e. LCM of 326,261,343 is 29184498.

GCF of Denominators means GCF of 765,947,622 as per the given fractions.

GCF of 765,947,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,261,343

LCM of Fractions 326/765,261/947,343/622 is 29184498

Given numbers has no common factors except 1. So, there LCM is their product i.e 29184498

Least Common Multiple of 326,261,343 with GCF Formula

Least Common Multiple of 326,261,343 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 326,261,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,261,343) = 1

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

GCF(326,261,343) x common factors =1 x 1 = 1

LCM(326,261,343) = ( 326 × 261 × 343 ) / 1

LCM(326,261,343) = 29184498 / 1

LCM(326,261,343) = 29184498


Lets's calculate GCF of 765,947,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29184498/1

Therefore the LCM of Fractions 326/765,261/947,343/622 is 29184498

Greatest Common Factor of 765,947,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,947,622 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 765,947,622 . The biggest common factor number is the GCF number.
So the greatest common factor 765,947,622 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 326/765, 261/947, 343/622

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 326/765, 261/947, 343/622?

Answer: LCM of Numerators as per given numbers 326/765, 261/947, 343/622 is

LCM of Numerators i.e. for 326,261,343 is 29184498

GCF of denominators i.e. for 765,947,622 is 1.

Thus, LCM of Fractions is 29184498.Finally, LCM of Fractions for 326/765, 261/947, 343/622 is 29184498.