Least Common Multiple of 838/512, 898/545, 966/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/512, 898/545, 966/954 quickly i.e. 181734546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/512, 898/545, 966/954 is 181734546.

LCM(838/512, 898/545, 966/954) = 181734546

LCM of 838/512, 898/545, 966/954

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 838/512,898/545,966/954

Given numbers are 838/512,898/545,966/954

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 838,898,966

Least Common Multiple of Numerators i.e. LCM of 838,898,966 is 181734546.

GCF of Denominators means GCF of 512,545,954 as per the given fractions.

GCF of 512,545,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,898,966

LCM of Fractions 838/512,898/545,966/954 is 181734546

2 838, 898, 966
419, 449, 483

∴ So the LCM of the given numbers is 2 x 419 x 449 x 483 = 181734546

Least Common Multiple of 838,898,966 with GCF Formula

Least Common Multiple of 838,898,966 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 838,898,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,898,966) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(838,898,966) x common factors =2 x 2 = 4

LCM(838,898,966) = ( 838 × 898 × 966 ) / 4

LCM(838,898,966) = 726938184 / 4

LCM(838,898,966) = 181734546


Lets's calculate GCF of 512,545,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181734546/1

Therefore the LCM of Fractions 838/512,898/545,966/954 is 181734546

Greatest Common Factor of 512,545,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,545,954 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 512,545,954 . The biggest common factor number is the GCF number.
So the greatest common factor 512,545,954 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 838/512, 898/545, 966/954

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 838/512, 898/545, 966/954?

Answer: LCM of Numerators as per given numbers 838/512, 898/545, 966/954 is

LCM of Numerators i.e. for 838,898,966 is 181734546

GCF of denominators i.e. for 512,545,954 is 1.

Thus, LCM of Fractions is 181734546.Finally, LCM of Fractions for 838/512, 898/545, 966/954 is 181734546.