Least Common Multiple of 278/16, 2987/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/16, 2987/454 quickly i.e. 415193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/16, 2987/454 is 415193.

LCM(278/16, 2987/454) = 415193

LCM of 278/16, 2987/454

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 278/16,2987/454

Given numbers are 278/16,2987/454

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 278,2987

Least Common Multiple of Numerators i.e. LCM of 278,2987 is 830386.

GCF of Denominators means GCF of 16,454 as per the given fractions.

GCF of 16,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,2987

LCM of Fractions 278/16,2987/454 is 415193

Given numbers has no common factors except 1. So, there LCM is their product i.e 830386

Least Common Multiple of 278,2987 with GCF Formula

Least Common Multiple of 278,2987 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 278,2987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,2987) = 1

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

GCF(278,2987) x common factors =1 x 1 = 1

LCM(278,2987) = ( 278 × 2987 ) / 1

LCM(278,2987) = 830386 / 1

LCM(278,2987) = 830386


Lets's calculate GCF of 16,454

2 16, 454
8, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830386/2

Therefore the LCM of Fractions 278/16,2987/454 is 415193

Greatest Common Factor of 16,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,454 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 16,454 . The biggest common factor number is the GCF number.
So the greatest common factor 16,454 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 278/16, 2987/454

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 278/16, 2987/454?

Answer: LCM of Numerators as per given numbers 278/16, 2987/454 is

LCM of Numerators i.e. for 278,2987 is 830386

GCF of denominators i.e. for 16,454 is 2.

Thus, LCM of Fractions is 415193.Finally, LCM of Fractions for 278/16, 2987/454 is 415193.