Least Common Multiple of 5660/84, 1051/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5660/84, 1051/978 quickly i.e. 5948660/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5660/84, 1051/978 is 5948660/6.

LCM(5660/84, 1051/978) = 5948660/6

LCM of 5660/84, 1051/978

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 5660/84,1051/978

Given numbers are 5660/84,1051/978

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 5660,1051

Least Common Multiple of Numerators i.e. LCM of 5660,1051 is 5948660.

GCF of Denominators means GCF of 84,978 as per the given fractions.

GCF of 84,978 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5660,1051

LCM of Fractions 5660/84,1051/978 is 5948660/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 5948660

Least Common Multiple of 5660,1051 with GCF Formula

Least Common Multiple of 5660,1051 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 5660,1051 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5660,1051) = 1

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

GCF(5660,1051) x common factors =1 x 1 = 1

LCM(5660,1051) = ( 5660 × 1051 ) / 1

LCM(5660,1051) = 5948660 / 1

LCM(5660,1051) = 5948660


Lets's calculate GCF of 84,978

2 84, 978
3 42, 489
14, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5948660/6

Therefore the LCM of Fractions 5660/84,1051/978 is 5948660/6

Greatest Common Factor of 84,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,978 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 84,978 . The biggest common factor number is the GCF number.
So the greatest common factor 84,978 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 5660/84, 1051/978

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 5660/84, 1051/978?

Answer: LCM of Numerators as per given numbers 5660/84, 1051/978 is

LCM of Numerators i.e. for 5660,1051 is 5948660

GCF of denominators i.e. for 84,978 is 6.

Thus, LCM of Fractions is 5948660/6.Finally, LCM of Fractions for 5660/84, 1051/978 is 5948660/6.