Least Common Multiple of 63/78, 369/77, 523/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/78, 369/77, 523/931 quickly i.e. 1350909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/78, 369/77, 523/931 is 1350909.

LCM(63/78, 369/77, 523/931) = 1350909

LCM of 63/78, 369/77, 523/931

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 63/78,369/77,523/931

Given numbers are 63/78,369/77,523/931

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 63,369,523

Least Common Multiple of Numerators i.e. LCM of 63,369,523 is 1350909.

GCF of Denominators means GCF of 78,77,931 as per the given fractions.

GCF of 78,77,931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,369,523

LCM of Fractions 63/78,369/77,523/931 is 1350909

3 63, 369, 523
3 21, 123, 523
7, 41, 523

∴ So the LCM of the given numbers is 3 x 3 x 7 x 41 x 523 = 1350909

Least Common Multiple of 63,369,523 with GCF Formula

Least Common Multiple of 63,369,523 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 63,369,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,369,523) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(63,369,523) x common factors =1 x 9 = 9

LCM(63,369,523) = ( 63 × 369 × 523 ) / 9

LCM(63,369,523) = 12158181 / 9

LCM(63,369,523) = 1350909


Lets's calculate GCF of 78,77,931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1350909/1

Therefore the LCM of Fractions 63/78,369/77,523/931 is 1350909

Greatest Common Factor of 78,77,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,77,931 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 78,77,931 . The biggest common factor number is the GCF number.
So the greatest common factor 78,77,931 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/78, 369/77, 523/931

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 63/78, 369/77, 523/931?

Answer: LCM of Numerators as per given numbers 63/78, 369/77, 523/931 is

LCM of Numerators i.e. for 63,369,523 is 1350909

GCF of denominators i.e. for 78,77,931 is 1.

Thus, LCM of Fractions is 1350909.Finally, LCM of Fractions for 63/78, 369/77, 523/931 is 1350909.