Least Common Multiple of 777/923, 168/450, 495/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 777/923, 168/450, 495/351 quickly i.e. 1025640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/923, 168/450, 495/351 is 1025640.

LCM(777/923, 168/450, 495/351) = 1025640

LCM of 777/923, 168/450, 495/351

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 777/923,168/450,495/351

Given numbers are 777/923,168/450,495/351

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 777,168,495

Least Common Multiple of Numerators i.e. LCM of 777,168,495 is 1025640.

GCF of Denominators means GCF of 923,450,351 as per the given fractions.

GCF of 923,450,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,168,495

LCM of Fractions 777/923,168/450,495/351 is 1025640

3 777, 168, 495
7 259, 56, 165
37, 8, 165

∴ So the LCM of the given numbers is 3 x 7 x 37 x 8 x 165 = 1025640

Least Common Multiple of 777,168,495 with GCF Formula

Least Common Multiple of 777,168,495 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 777,168,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,168,495) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(777,168,495) x common factors =3 x 21 = 63

LCM(777,168,495) = ( 777 × 168 × 495 ) / 63

LCM(777,168,495) = 64615320 / 63

LCM(777,168,495) = 1025640


Lets's calculate GCF of 923,450,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1025640/1

Therefore the LCM of Fractions 777/923,168/450,495/351 is 1025640

Greatest Common Factor of 923,450,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,450,351 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 351

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

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

Greatest Common Factor

We found the factors 923,450,351 . The biggest common factor number is the GCF number.
So the greatest common factor 923,450,351 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 777/923, 168/450, 495/351

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 777/923, 168/450, 495/351?

Answer: LCM of Numerators as per given numbers 777/923, 168/450, 495/351 is

LCM of Numerators i.e. for 777,168,495 is 1025640

GCF of denominators i.e. for 923,450,351 is 1.

Thus, LCM of Fractions is 1025640.Finally, LCM of Fractions for 777/923, 168/450, 495/351 is 1025640.