Least Common Multiple of 429/963, 798/295, 122/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 429/963, 798/295, 122/396 quickly i.e. 6960954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/963, 798/295, 122/396 is 6960954.

LCM(429/963, 798/295, 122/396) = 6960954

LCM of 429/963, 798/295, 122/396

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 429/963,798/295,122/396

Given numbers are 429/963,798/295,122/396

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 429,798,122

Least Common Multiple of Numerators i.e. LCM of 429,798,122 is 6960954.

GCF of Denominators means GCF of 963,295,396 as per the given fractions.

GCF of 963,295,396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,798,122

LCM of Fractions 429/963,798/295,122/396 is 6960954

2 429, 798, 122
3 429, 399, 61
143, 133, 61

∴ So the LCM of the given numbers is 2 x 3 x 143 x 133 x 61 = 6960954

Least Common Multiple of 429,798,122 with GCF Formula

Least Common Multiple of 429,798,122 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 429,798,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,798,122) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(429,798,122) x common factors =1 x 6 = 6

LCM(429,798,122) = ( 429 × 798 × 122 ) / 6

LCM(429,798,122) = 41765724 / 6

LCM(429,798,122) = 6960954


Lets's calculate GCF of 963,295,396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6960954/1

Therefore the LCM of Fractions 429/963,798/295,122/396 is 6960954

Greatest Common Factor of 963,295,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,295,396 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 963,295,396 . The biggest common factor number is the GCF number.
So the greatest common factor 963,295,396 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 429/963, 798/295, 122/396

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 429/963, 798/295, 122/396?

Answer: LCM of Numerators as per given numbers 429/963, 798/295, 122/396 is

LCM of Numerators i.e. for 429,798,122 is 6960954

GCF of denominators i.e. for 963,295,396 is 1.

Thus, LCM of Fractions is 6960954.Finally, LCM of Fractions for 429/963, 798/295, 122/396 is 6960954.