Least Common Multiple of 459/254, 310/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/254, 310/985 quickly i.e. 142290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/254, 310/985 is 142290.

LCM(459/254, 310/985) = 142290

LCM of 459/254, 310/985

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 459/254,310/985

Given numbers are 459/254,310/985

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 459,310

Least Common Multiple of Numerators i.e. LCM of 459,310 is 142290.

GCF of Denominators means GCF of 254,985 as per the given fractions.

GCF of 254,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,310

LCM of Fractions 459/254,310/985 is 142290

Given numbers has no common factors except 1. So, there LCM is their product i.e 142290

Least Common Multiple of 459,310 with GCF Formula

Least Common Multiple of 459,310 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 459,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,310) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(459,310) x common factors =1 x 1 = 1

LCM(459,310) = ( 459 × 310 ) / 1

LCM(459,310) = 142290 / 1

LCM(459,310) = 142290


Lets's calculate GCF of 254,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142290/1

Therefore the LCM of Fractions 459/254,310/985 is 142290

Greatest Common Factor of 254,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,985 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 254,985 . The biggest common factor number is the GCF number.
So the greatest common factor 254,985 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 459/254, 310/985

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 459/254, 310/985?

Answer: LCM of Numerators as per given numbers 459/254, 310/985 is

LCM of Numerators i.e. for 459,310 is 142290

GCF of denominators i.e. for 254,985 is 1.

Thus, LCM of Fractions is 142290.Finally, LCM of Fractions for 459/254, 310/985 is 142290.