Least Common Multiple of 1417/120, 3967/3812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1417/120, 3967/3812 quickly i.e. 5621239/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1417/120, 3967/3812 is 5621239/4.

LCM(1417/120, 3967/3812) = 5621239/4

LCM of 1417/120, 3967/3812

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 1417/120,3967/3812

Given numbers are 1417/120,3967/3812

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 1417,3967

Least Common Multiple of Numerators i.e. LCM of 1417,3967 is 5621239.

GCF of Denominators means GCF of 120,3812 as per the given fractions.

GCF of 120,3812 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1417,3967

LCM of Fractions 1417/120,3967/3812 is 5621239/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5621239

Least Common Multiple of 1417,3967 with GCF Formula

Least Common Multiple of 1417,3967 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 1417,3967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1417,3967) = 1

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

GCF(1417,3967) x common factors =1 x 1 = 1

LCM(1417,3967) = ( 1417 × 3967 ) / 1

LCM(1417,3967) = 5621239 / 1

LCM(1417,3967) = 5621239


Lets's calculate GCF of 120,3812

2 120, 3812
2 60, 1906
30, 953

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5621239/4

Therefore the LCM of Fractions 1417/120,3967/3812 is 5621239/4

Greatest Common Factor of 120,3812 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,3812 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 3812

List of positive integer factors of 3812 that divides 3812 without a remainder.

1,2,4,953,1906,3812

Greatest Common Factor

We found the factors 120,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 120,3812 is 4.


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 1417/120, 3967/3812

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 1417/120, 3967/3812?

Answer: LCM of Numerators as per given numbers 1417/120, 3967/3812 is

LCM of Numerators i.e. for 1417,3967 is 5621239

GCF of denominators i.e. for 120,3812 is 4.

Thus, LCM of Fractions is 5621239/4.Finally, LCM of Fractions for 1417/120, 3967/3812 is 5621239/4.