Least Common Multiple of 1810/414, 1742/1917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1810/414, 1742/1917 quickly i.e. 1576510/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1810/414, 1742/1917 is 1576510/9.

LCM(1810/414, 1742/1917) = 1576510/9

LCM of 1810/414, 1742/1917

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 1810/414,1742/1917

Given numbers are 1810/414,1742/1917

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 1810,1742

Least Common Multiple of Numerators i.e. LCM of 1810,1742 is 1576510.

GCF of Denominators means GCF of 414,1917 as per the given fractions.

GCF of 414,1917 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1810,1742

LCM of Fractions 1810/414,1742/1917 is 1576510/9

2 1810, 1742
905, 871

∴ So the LCM of the given numbers is 2 x 905 x 871 = 1576510

Least Common Multiple of 1810,1742 with GCF Formula

Least Common Multiple of 1810,1742 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 1810,1742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1810,1742) = 2

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

GCF(1810,1742) x common factors =2 x 1 = 2

LCM(1810,1742) = ( 1810 × 1742 ) / 2

LCM(1810,1742) = 3153020 / 2

LCM(1810,1742) = 1576510


Lets's calculate GCF of 414,1917

3 414, 1917
3 138, 639
46, 213

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576510/9

Therefore the LCM of Fractions 1810/414,1742/1917 is 1576510/9

Greatest Common Factor of 414,1917 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,1917 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1,3,9,27,71,213,639,1917

Greatest Common Factor

We found the factors 414,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 414,1917 is 9.


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 1810/414, 1742/1917

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 1810/414, 1742/1917?

Answer: LCM of Numerators as per given numbers 1810/414, 1742/1917 is

LCM of Numerators i.e. for 1810,1742 is 1576510

GCF of denominators i.e. for 414,1917 is 9.

Thus, LCM of Fractions is 1576510/9.Finally, LCM of Fractions for 1810/414, 1742/1917 is 1576510/9.