Least Common Multiple of 2236/489, 3762/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2236/489, 3762/948 quickly i.e. 1401972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2236/489, 3762/948 is 1401972.

LCM(2236/489, 3762/948) = 1401972

LCM of 2236/489, 3762/948

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 2236/489,3762/948

Given numbers are 2236/489,3762/948

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 2236,3762

Least Common Multiple of Numerators i.e. LCM of 2236,3762 is 4205916.

GCF of Denominators means GCF of 489,948 as per the given fractions.

GCF of 489,948 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2236,3762

LCM of Fractions 2236/489,3762/948 is 1401972

2 2236, 3762
1118, 1881

∴ So the LCM of the given numbers is 2 x 1118 x 1881 = 4205916

Least Common Multiple of 2236,3762 with GCF Formula

Least Common Multiple of 2236,3762 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 2236,3762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2236,3762) = 2

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

GCF(2236,3762) x common factors =2 x 1 = 2

LCM(2236,3762) = ( 2236 × 3762 ) / 2

LCM(2236,3762) = 8411832 / 2

LCM(2236,3762) = 4205916


Lets's calculate GCF of 489,948

3 489, 948
163, 316

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4205916/3

Therefore the LCM of Fractions 2236/489,3762/948 is 1401972

Greatest Common Factor of 489,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,948 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 489,948 . The biggest common factor number is the GCF number.
So the greatest common factor 489,948 is 3.


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 2236/489, 3762/948

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 2236/489, 3762/948?

Answer: LCM of Numerators as per given numbers 2236/489, 3762/948 is

LCM of Numerators i.e. for 2236,3762 is 4205916

GCF of denominators i.e. for 489,948 is 3.

Thus, LCM of Fractions is 1401972.Finally, LCM of Fractions for 2236/489, 3762/948 is 1401972.