Least Common Multiple of 1410/71, 7377/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1410/71, 7377/689 quickly i.e. 3467190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1410/71, 7377/689 is 3467190.

LCM(1410/71, 7377/689) = 3467190

LCM of 1410/71, 7377/689

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 1410/71,7377/689

Given numbers are 1410/71,7377/689

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 1410,7377

Least Common Multiple of Numerators i.e. LCM of 1410,7377 is 3467190.

GCF of Denominators means GCF of 71,689 as per the given fractions.

GCF of 71,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1410,7377

LCM of Fractions 1410/71,7377/689 is 3467190

3 1410, 7377
470, 2459

∴ So the LCM of the given numbers is 3 x 470 x 2459 = 3467190

Least Common Multiple of 1410,7377 with GCF Formula

Least Common Multiple of 1410,7377 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 1410,7377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1410,7377) = 3

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

GCF(1410,7377) x common factors =3 x 1 = 3

LCM(1410,7377) = ( 1410 × 7377 ) / 3

LCM(1410,7377) = 10401570 / 3

LCM(1410,7377) = 3467190


Lets's calculate GCF of 71,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3467190/1

Therefore the LCM of Fractions 1410/71,7377/689 is 3467190

Greatest Common Factor of 71,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,689 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 71,689 . The biggest common factor number is the GCF number.
So the greatest common factor 71,689 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 1410/71, 7377/689

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 1410/71, 7377/689?

Answer: LCM of Numerators as per given numbers 1410/71, 7377/689 is

LCM of Numerators i.e. for 1410,7377 is 3467190

GCF of denominators i.e. for 71,689 is 1.

Thus, LCM of Fractions is 3467190.Finally, LCM of Fractions for 1410/71, 7377/689 is 3467190.