Least Common Multiple of 1707/68, 2487/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1707/68, 2487/737 quickly i.e. 1415103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1707/68, 2487/737 is 1415103.

LCM(1707/68, 2487/737) = 1415103

LCM of 1707/68, 2487/737

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 1707/68,2487/737

Given numbers are 1707/68,2487/737

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 1707,2487

Least Common Multiple of Numerators i.e. LCM of 1707,2487 is 1415103.

GCF of Denominators means GCF of 68,737 as per the given fractions.

GCF of 68,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1707,2487

LCM of Fractions 1707/68,2487/737 is 1415103

3 1707, 2487
569, 829

∴ So the LCM of the given numbers is 3 x 569 x 829 = 1415103

Least Common Multiple of 1707,2487 with GCF Formula

Least Common Multiple of 1707,2487 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 1707,2487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1707,2487) = 3

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

GCF(1707,2487) x common factors =3 x 1 = 3

LCM(1707,2487) = ( 1707 × 2487 ) / 3

LCM(1707,2487) = 4245309 / 3

LCM(1707,2487) = 1415103


Lets's calculate GCF of 68,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1415103/1

Therefore the LCM of Fractions 1707/68,2487/737 is 1415103

Greatest Common Factor of 68,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,737 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 68,737 . The biggest common factor number is the GCF number.
So the greatest common factor 68,737 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 1707/68, 2487/737

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 1707/68, 2487/737?

Answer: LCM of Numerators as per given numbers 1707/68, 2487/737 is

LCM of Numerators i.e. for 1707,2487 is 1415103

GCF of denominators i.e. for 68,737 is 1.

Thus, LCM of Fractions is 1415103.Finally, LCM of Fractions for 1707/68, 2487/737 is 1415103.