Least Common Multiple of 7440/411, 1424/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7440/411, 1424/170 quickly i.e. 662160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7440/411, 1424/170 is 662160.

LCM(7440/411, 1424/170) = 662160

LCM of 7440/411, 1424/170

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 7440/411,1424/170

Given numbers are 7440/411,1424/170

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 7440,1424

Least Common Multiple of Numerators i.e. LCM of 7440,1424 is 662160.

GCF of Denominators means GCF of 411,170 as per the given fractions.

GCF of 411,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7440,1424

LCM of Fractions 7440/411,1424/170 is 662160

2 7440, 1424
2 3720, 712
2 1860, 356
2 930, 178
465, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 465 x 89 = 662160

Least Common Multiple of 7440,1424 with GCF Formula

Least Common Multiple of 7440,1424 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 7440,1424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7440,1424) = 16

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

GCF(7440,1424) x common factors =16 x 1 = 16

LCM(7440,1424) = ( 7440 × 1424 ) / 16

LCM(7440,1424) = 10594560 / 16

LCM(7440,1424) = 662160


Lets's calculate GCF of 411,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662160/1

Therefore the LCM of Fractions 7440/411,1424/170 is 662160

Greatest Common Factor of 411,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,170 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 411,170 . The biggest common factor number is the GCF number.
So the greatest common factor 411,170 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 7440/411, 1424/170

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 7440/411, 1424/170?

Answer: LCM of Numerators as per given numbers 7440/411, 1424/170 is

LCM of Numerators i.e. for 7440,1424 is 662160

GCF of denominators i.e. for 411,170 is 1.

Thus, LCM of Fractions is 662160.Finally, LCM of Fractions for 7440/411, 1424/170 is 662160.