Least Common Multiple of 254/86, 465/96, 882/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/86, 465/96, 882/546 quickly i.e. 8681085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/86, 465/96, 882/546 is 8681085.

LCM(254/86, 465/96, 882/546) = 8681085

LCM of 254/86, 465/96, 882/546

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 254/86,465/96,882/546

Given numbers are 254/86,465/96,882/546

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 254,465,882

Least Common Multiple of Numerators i.e. LCM of 254,465,882 is 17362170.

GCF of Denominators means GCF of 86,96,546 as per the given fractions.

GCF of 86,96,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,465,882

LCM of Fractions 254/86,465/96,882/546 is 8681085

2 254, 465, 882
3 127, 465, 441
127, 155, 147

∴ So the LCM of the given numbers is 2 x 3 x 127 x 155 x 147 = 17362170

Least Common Multiple of 254,465,882 with GCF Formula

Least Common Multiple of 254,465,882 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 254,465,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,465,882) = 1

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

GCF(254,465,882) x common factors =1 x 6 = 6

LCM(254,465,882) = ( 254 × 465 × 882 ) / 6

LCM(254,465,882) = 104173020 / 6

LCM(254,465,882) = 17362170


Lets's calculate GCF of 86,96,546

2 86, 96, 546
43, 48, 273

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17362170/2

Therefore the LCM of Fractions 254/86,465/96,882/546 is 8681085

Greatest Common Factor of 86,96,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,96,546 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 86,96,546 . The biggest common factor number is the GCF number.
So the greatest common factor 86,96,546 is 2.


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 254/86, 465/96, 882/546

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 254/86, 465/96, 882/546?

Answer: LCM of Numerators as per given numbers 254/86, 465/96, 882/546 is

LCM of Numerators i.e. for 254,465,882 is 17362170

GCF of denominators i.e. for 86,96,546 is 2.

Thus, LCM of Fractions is 8681085.Finally, LCM of Fractions for 254/86, 465/96, 882/546 is 8681085.