Least Common Multiple of 371/96, 424/2450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/96, 424/2450 quickly i.e. 1484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/96, 424/2450 is 1484.

LCM(371/96, 424/2450) = 1484

LCM of 371/96, 424/2450

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 371/96,424/2450

Given numbers are 371/96,424/2450

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 371,424

Least Common Multiple of Numerators i.e. LCM of 371,424 is 2968.

GCF of Denominators means GCF of 96,2450 as per the given fractions.

GCF of 96,2450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,424

LCM of Fractions 371/96,424/2450 is 1484

53 371, 424
7, 8

∴ So the LCM of the given numbers is 53 x 7 x 8 = 2968

Least Common Multiple of 371,424 with GCF Formula

Least Common Multiple of 371,424 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 371,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,424) = 53

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

GCF(371,424) x common factors =53 x 1 = 53

LCM(371,424) = ( 371 × 424 ) / 53

LCM(371,424) = 157304 / 53

LCM(371,424) = 2968


Lets's calculate GCF of 96,2450

2 96, 2450
48, 1225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2968/2

Therefore the LCM of Fractions 371/96,424/2450 is 1484

Greatest Common Factor of 96,2450 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2450 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Greatest Common Factor

We found the factors 96,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2450 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 371/96, 424/2450

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 371/96, 424/2450?

Answer: LCM of Numerators as per given numbers 371/96, 424/2450 is

LCM of Numerators i.e. for 371,424 is 2968

GCF of denominators i.e. for 96,2450 is 2.

Thus, LCM of Fractions is 1484.Finally, LCM of Fractions for 371/96, 424/2450 is 1484.