Least Common Multiple of 1356/982, 6488/1145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1356/982, 6488/1145 quickly i.e. 2199432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1356/982, 6488/1145 is 2199432.

LCM(1356/982, 6488/1145) = 2199432

LCM of 1356/982, 6488/1145

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 1356/982,6488/1145

Given numbers are 1356/982,6488/1145

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 1356,6488

Least Common Multiple of Numerators i.e. LCM of 1356,6488 is 2199432.

GCF of Denominators means GCF of 982,1145 as per the given fractions.

GCF of 982,1145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1356,6488

LCM of Fractions 1356/982,6488/1145 is 2199432

2 1356, 6488
2 678, 3244
339, 1622

∴ So the LCM of the given numbers is 2 x 2 x 339 x 1622 = 2199432

Least Common Multiple of 1356,6488 with GCF Formula

Least Common Multiple of 1356,6488 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 1356,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1356,6488) = 4

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

GCF(1356,6488) x common factors =4 x 1 = 4

LCM(1356,6488) = ( 1356 × 6488 ) / 4

LCM(1356,6488) = 8797728 / 4

LCM(1356,6488) = 2199432


Lets's calculate GCF of 982,1145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2199432/1

Therefore the LCM of Fractions 1356/982,6488/1145 is 2199432

Greatest Common Factor of 982,1145 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,1145 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1,5,229,1145

Greatest Common Factor

We found the factors 982,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 982,1145 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 1356/982, 6488/1145

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 1356/982, 6488/1145?

Answer: LCM of Numerators as per given numbers 1356/982, 6488/1145 is

LCM of Numerators i.e. for 1356,6488 is 2199432

GCF of denominators i.e. for 982,1145 is 1.

Thus, LCM of Fractions is 2199432.Finally, LCM of Fractions for 1356/982, 6488/1145 is 2199432.