Least Common Multiple of 1830/92, 5698/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1830/92, 5698/920 quickly i.e. 5213670/92 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1830/92, 5698/920 is 5213670/92.

LCM(1830/92, 5698/920) = 5213670/92

LCM of 1830/92, 5698/920

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 1830/92,5698/920

Given numbers are 1830/92,5698/920

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 1830,5698

Least Common Multiple of Numerators i.e. LCM of 1830,5698 is 5213670.

GCF of Denominators means GCF of 92,920 as per the given fractions.

GCF of 92,920 is 92 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1830,5698

LCM of Fractions 1830/92,5698/920 is 5213670/92

2 1830, 5698
915, 2849

∴ So the LCM of the given numbers is 2 x 915 x 2849 = 5213670

Least Common Multiple of 1830,5698 with GCF Formula

Least Common Multiple of 1830,5698 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 1830,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1830,5698) = 2

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

GCF(1830,5698) x common factors =2 x 1 = 2

LCM(1830,5698) = ( 1830 × 5698 ) / 2

LCM(1830,5698) = 10427340 / 2

LCM(1830,5698) = 5213670


Lets's calculate GCF of 92,920

2 92, 920
2 46, 460
23 23, 230
1, 10

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5213670/92

Therefore the LCM of Fractions 1830/92,5698/920 is 5213670/92

Greatest Common Factor of 92,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,920 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 92,920 . The biggest common factor number is the GCF number.
So the greatest common factor 92,920 is 92.


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 1830/92, 5698/920

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 1830/92, 5698/920?

Answer: LCM of Numerators as per given numbers 1830/92, 5698/920 is

LCM of Numerators i.e. for 1830,5698 is 5213670

GCF of denominators i.e. for 92,920 is 92.

Thus, LCM of Fractions is 5213670/92.Finally, LCM of Fractions for 1830/92, 5698/920 is 5213670/92.