Least Common Multiple of 910/42, 770/22, 284/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 910/42, 770/22, 284/489 quickly i.e. 1421420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 910/42, 770/22, 284/489 is 1421420.

LCM(910/42, 770/22, 284/489) = 1421420

LCM of 910/42, 770/22, 284/489

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 910/42,770/22,284/489

Given numbers are 910/42,770/22,284/489

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 910,770,284

Least Common Multiple of Numerators i.e. LCM of 910,770,284 is 1421420.

GCF of Denominators means GCF of 42,22,489 as per the given fractions.

GCF of 42,22,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 910,770,284

LCM of Fractions 910/42,770/22,284/489 is 1421420

2 910, 770, 284
5 455, 385, 142
7 91, 77, 142
13, 11, 142

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 11 x 142 = 1421420

Least Common Multiple of 910,770,284 with GCF Formula

Least Common Multiple of 910,770,284 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 910,770,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,770,284) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(910,770,284) x common factors =2 x 70 = 140

LCM(910,770,284) = ( 910 × 770 × 284 ) / 140

LCM(910,770,284) = 198998800 / 140

LCM(910,770,284) = 1421420


Lets's calculate GCF of 42,22,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1421420/1

Therefore the LCM of Fractions 910/42,770/22,284/489 is 1421420

Greatest Common Factor of 42,22,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,22,489 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 42,22,489 . The biggest common factor number is the GCF number.
So the greatest common factor 42,22,489 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 910/42, 770/22, 284/489

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 910/42, 770/22, 284/489?

Answer: LCM of Numerators as per given numbers 910/42, 770/22, 284/489 is

LCM of Numerators i.e. for 910,770,284 is 1421420

GCF of denominators i.e. for 42,22,489 is 1.

Thus, LCM of Fractions is 1421420.Finally, LCM of Fractions for 910/42, 770/22, 284/489 is 1421420.