Least Common Multiple of 677/94, 510/1585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/94, 510/1585 quickly i.e. 345270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/94, 510/1585 is 345270.

LCM(677/94, 510/1585) = 345270

LCM of 677/94, 510/1585

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 677/94,510/1585

Given numbers are 677/94,510/1585

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 677,510

Least Common Multiple of Numerators i.e. LCM of 677,510 is 345270.

GCF of Denominators means GCF of 94,1585 as per the given fractions.

GCF of 94,1585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,510

LCM of Fractions 677/94,510/1585 is 345270

Given numbers has no common factors except 1. So, there LCM is their product i.e 345270

Least Common Multiple of 677,510 with GCF Formula

Least Common Multiple of 677,510 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 677,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,510) = 1

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

GCF(677,510) x common factors =1 x 1 = 1

LCM(677,510) = ( 677 × 510 ) / 1

LCM(677,510) = 345270 / 1

LCM(677,510) = 345270


Lets's calculate GCF of 94,1585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345270/1

Therefore the LCM of Fractions 677/94,510/1585 is 345270

Greatest Common Factor of 94,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,1585 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 94,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 94,1585 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 677/94, 510/1585

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 677/94, 510/1585?

Answer: LCM of Numerators as per given numbers 677/94, 510/1585 is

LCM of Numerators i.e. for 677,510 is 345270

GCF of denominators i.e. for 94,1585 is 1.

Thus, LCM of Fractions is 345270.Finally, LCM of Fractions for 677/94, 510/1585 is 345270.