Least Common Multiple of 35/489, 1858/7718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/489, 1858/7718 quickly i.e. 65030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/489, 1858/7718 is 65030.

LCM(35/489, 1858/7718) = 65030

LCM of 35/489, 1858/7718

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 35/489,1858/7718

Given numbers are 35/489,1858/7718

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 35,1858

Least Common Multiple of Numerators i.e. LCM of 35,1858 is 65030.

GCF of Denominators means GCF of 489,7718 as per the given fractions.

GCF of 489,7718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,1858

LCM of Fractions 35/489,1858/7718 is 65030

Given numbers has no common factors except 1. So, there LCM is their product i.e 65030

Least Common Multiple of 35,1858 with GCF Formula

Least Common Multiple of 35,1858 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 35,1858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,1858) = 1

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

GCF(35,1858) x common factors =1 x 1 = 1

LCM(35,1858) = ( 35 × 1858 ) / 1

LCM(35,1858) = 65030 / 1

LCM(35,1858) = 65030


Lets's calculate GCF of 489,7718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65030/1

Therefore the LCM of Fractions 35/489,1858/7718 is 65030

Greatest Common Factor of 489,7718 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,7718 By Matching Biggest Common Factor Method

Factors of 489

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

1,3,163,489

Factors of 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1,2,17,34,227,454,3859,7718

Greatest Common Factor

We found the factors 489,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 489,7718 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 35/489, 1858/7718

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 35/489, 1858/7718?

Answer: LCM of Numerators as per given numbers 35/489, 1858/7718 is

LCM of Numerators i.e. for 35,1858 is 65030

GCF of denominators i.e. for 489,7718 is 1.

Thus, LCM of Fractions is 65030.Finally, LCM of Fractions for 35/489, 1858/7718 is 65030.