Least Common Multiple of 3872/148, 2414/8821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3872/148, 2414/8821 quickly i.e. 4673504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3872/148, 2414/8821 is 4673504.

LCM(3872/148, 2414/8821) = 4673504

LCM of 3872/148, 2414/8821

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 3872/148,2414/8821

Given numbers are 3872/148,2414/8821

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 3872,2414

Least Common Multiple of Numerators i.e. LCM of 3872,2414 is 4673504.

GCF of Denominators means GCF of 148,8821 as per the given fractions.

GCF of 148,8821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3872,2414

LCM of Fractions 3872/148,2414/8821 is 4673504

2 3872, 2414
1936, 1207

∴ So the LCM of the given numbers is 2 x 1936 x 1207 = 4673504

Least Common Multiple of 3872,2414 with GCF Formula

Least Common Multiple of 3872,2414 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 3872,2414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3872,2414) = 2

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

GCF(3872,2414) x common factors =2 x 1 = 2

LCM(3872,2414) = ( 3872 × 2414 ) / 2

LCM(3872,2414) = 9347008 / 2

LCM(3872,2414) = 4673504


Lets's calculate GCF of 148,8821

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4673504/1

Therefore the LCM of Fractions 3872/148,2414/8821 is 4673504

Greatest Common Factor of 148,8821 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,8821 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 8821

List of positive integer factors of 8821 that divides 8821 without a remainder.

1,8821

Greatest Common Factor

We found the factors 148,8821 . The biggest common factor number is the GCF number.
So the greatest common factor 148,8821 is 1.


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 3872/148, 2414/8821

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 3872/148, 2414/8821?

Answer: LCM of Numerators as per given numbers 3872/148, 2414/8821 is

LCM of Numerators i.e. for 3872,2414 is 4673504

GCF of denominators i.e. for 148,8821 is 1.

Thus, LCM of Fractions is 4673504.Finally, LCM of Fractions for 3872/148, 2414/8821 is 4673504.