Least Common Multiple of 3780/996, 5474/5646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3780/996, 5474/5646 quickly i.e. 246330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3780/996, 5474/5646 is 246330.

LCM(3780/996, 5474/5646) = 246330

LCM of 3780/996, 5474/5646

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 3780/996,5474/5646

Given numbers are 3780/996,5474/5646

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 3780,5474

Least Common Multiple of Numerators i.e. LCM of 3780,5474 is 1477980.

GCF of Denominators means GCF of 996,5646 as per the given fractions.

GCF of 996,5646 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3780,5474

LCM of Fractions 3780/996,5474/5646 is 246330

2 3780, 5474
7 1890, 2737
270, 391

∴ So the LCM of the given numbers is 2 x 7 x 270 x 391 = 1477980

Least Common Multiple of 3780,5474 with GCF Formula

Least Common Multiple of 3780,5474 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 3780,5474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3780,5474) = 14

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

GCF(3780,5474) x common factors =14 x 1 = 14

LCM(3780,5474) = ( 3780 × 5474 ) / 14

LCM(3780,5474) = 20691720 / 14

LCM(3780,5474) = 1477980


Lets's calculate GCF of 996,5646

2 996, 5646
3 498, 2823
166, 941

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1477980/6

Therefore the LCM of Fractions 3780/996,5474/5646 is 246330

Greatest Common Factor of 996,5646 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,5646 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1,2,3,6,941,1882,2823,5646

Greatest Common Factor

We found the factors 996,5646 . The biggest common factor number is the GCF number.
So the greatest common factor 996,5646 is 6.


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 3780/996, 5474/5646

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 3780/996, 5474/5646?

Answer: LCM of Numerators as per given numbers 3780/996, 5474/5646 is

LCM of Numerators i.e. for 3780,5474 is 1477980

GCF of denominators i.e. for 996,5646 is 6.

Thus, LCM of Fractions is 246330.Finally, LCM of Fractions for 3780/996, 5474/5646 is 246330.