Least Common Multiple of 810/364, 5650/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/364, 5650/382 quickly i.e. 228825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/364, 5650/382 is 228825.

LCM(810/364, 5650/382) = 228825

LCM of 810/364, 5650/382

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 810/364,5650/382

Given numbers are 810/364,5650/382

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 810,5650

Least Common Multiple of Numerators i.e. LCM of 810,5650 is 457650.

GCF of Denominators means GCF of 364,382 as per the given fractions.

GCF of 364,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,5650

LCM of Fractions 810/364,5650/382 is 228825

2 810, 5650
5 405, 2825
81, 565

∴ So the LCM of the given numbers is 2 x 5 x 81 x 565 = 457650

Least Common Multiple of 810,5650 with GCF Formula

Least Common Multiple of 810,5650 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 810,5650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,5650) = 10

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

GCF(810,5650) x common factors =10 x 1 = 10

LCM(810,5650) = ( 810 × 5650 ) / 10

LCM(810,5650) = 4576500 / 10

LCM(810,5650) = 457650


Lets's calculate GCF of 364,382

2 364, 382
182, 191

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457650/2

Therefore the LCM of Fractions 810/364,5650/382 is 228825

Greatest Common Factor of 364,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,382 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 364,382 . The biggest common factor number is the GCF number.
So the greatest common factor 364,382 is 2.


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 810/364, 5650/382

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 810/364, 5650/382?

Answer: LCM of Numerators as per given numbers 810/364, 5650/382 is

LCM of Numerators i.e. for 810,5650 is 457650

GCF of denominators i.e. for 364,382 is 2.

Thus, LCM of Fractions is 228825.Finally, LCM of Fractions for 810/364, 5650/382 is 228825.