Least Common Multiple of 294/810, 424/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 294/810, 424/850 quickly i.e. 62328/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/810, 424/850 is 62328/10.

LCM(294/810, 424/850) = 62328/10

LCM of 294/810, 424/850

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 294/810,424/850

Given numbers are 294/810,424/850

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 294,424

Least Common Multiple of Numerators i.e. LCM of 294,424 is 62328.

GCF of Denominators means GCF of 810,850 as per the given fractions.

GCF of 810,850 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,424

LCM of Fractions 294/810,424/850 is 62328/10

2 294, 424
147, 212

∴ So the LCM of the given numbers is 2 x 147 x 212 = 62328

Least Common Multiple of 294,424 with GCF Formula

Least Common Multiple of 294,424 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 294,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,424) = 2

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

GCF(294,424) x common factors =2 x 1 = 2

LCM(294,424) = ( 294 × 424 ) / 2

LCM(294,424) = 124656 / 2

LCM(294,424) = 62328


Lets's calculate GCF of 810,850

2 810, 850
5 405, 425
81, 85

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62328/10

Therefore the LCM of Fractions 294/810,424/850 is 62328/10

Greatest Common Factor of 810,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,850 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 810,850 . The biggest common factor number is the GCF number.
So the greatest common factor 810,850 is 10.


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 294/810, 424/850

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 294/810, 424/850?

Answer: LCM of Numerators as per given numbers 294/810, 424/850 is

LCM of Numerators i.e. for 294,424 is 62328

GCF of denominators i.e. for 810,850 is 10.

Thus, LCM of Fractions is 62328/10.Finally, LCM of Fractions for 294/810, 424/850 is 62328/10.