Least Common Multiple of 3780/701, 2978/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3780/701, 2978/816 quickly i.e. 5628420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3780/701, 2978/816 is 5628420.

LCM(3780/701, 2978/816) = 5628420

LCM of 3780/701, 2978/816

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 3780/701,2978/816

Given numbers are 3780/701,2978/816

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 3780,2978

Least Common Multiple of Numerators i.e. LCM of 3780,2978 is 5628420.

GCF of Denominators means GCF of 701,816 as per the given fractions.

GCF of 701,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3780,2978

LCM of Fractions 3780/701,2978/816 is 5628420

2 3780, 2978
1890, 1489

∴ So the LCM of the given numbers is 2 x 1890 x 1489 = 5628420

Least Common Multiple of 3780,2978 with GCF Formula

Least Common Multiple of 3780,2978 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 3780,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3780,2978) = 2

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

GCF(3780,2978) x common factors =2 x 1 = 2

LCM(3780,2978) = ( 3780 × 2978 ) / 2

LCM(3780,2978) = 11256840 / 2

LCM(3780,2978) = 5628420


Lets's calculate GCF of 701,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5628420/1

Therefore the LCM of Fractions 3780/701,2978/816 is 5628420

Greatest Common Factor of 701,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,816 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 701,816 . The biggest common factor number is the GCF number.
So the greatest common factor 701,816 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 3780/701, 2978/816

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 3780/701, 2978/816?

Answer: LCM of Numerators as per given numbers 3780/701, 2978/816 is

LCM of Numerators i.e. for 3780,2978 is 5628420

GCF of denominators i.e. for 701,816 is 1.

Thus, LCM of Fractions is 5628420.Finally, LCM of Fractions for 3780/701, 2978/816 is 5628420.