Least Common Multiple of 5645/490, 1058/2025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5645/490, 1058/2025 quickly i.e. 1194482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5645/490, 1058/2025 is 1194482.

LCM(5645/490, 1058/2025) = 1194482

LCM of 5645/490, 1058/2025

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 5645/490,1058/2025

Given numbers are 5645/490,1058/2025

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 5645,1058

Least Common Multiple of Numerators i.e. LCM of 5645,1058 is 5972410.

GCF of Denominators means GCF of 490,2025 as per the given fractions.

GCF of 490,2025 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5645,1058

LCM of Fractions 5645/490,1058/2025 is 1194482

Given numbers has no common factors except 1. So, there LCM is their product i.e 5972410

Least Common Multiple of 5645,1058 with GCF Formula

Least Common Multiple of 5645,1058 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 5645,1058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5645,1058) = 1

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

GCF(5645,1058) x common factors =1 x 1 = 1

LCM(5645,1058) = ( 5645 × 1058 ) / 1

LCM(5645,1058) = 5972410 / 1

LCM(5645,1058) = 5972410


Lets's calculate GCF of 490,2025

5 490, 2025
98, 405

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5972410/5

Therefore the LCM of Fractions 5645/490,1058/2025 is 1194482

Greatest Common Factor of 490,2025 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,2025 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025

Greatest Common Factor

We found the factors 490,2025 . The biggest common factor number is the GCF number.
So the greatest common factor 490,2025 is 5.


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 5645/490, 1058/2025

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 5645/490, 1058/2025?

Answer: LCM of Numerators as per given numbers 5645/490, 1058/2025 is

LCM of Numerators i.e. for 5645,1058 is 5972410

GCF of denominators i.e. for 490,2025 is 5.

Thus, LCM of Fractions is 1194482.Finally, LCM of Fractions for 5645/490, 1058/2025 is 1194482.