Least Common Multiple of 9774/946, 1432/9891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9774/946, 1432/9891 quickly i.e. 6998184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9774/946, 1432/9891 is 6998184.

LCM(9774/946, 1432/9891) = 6998184

LCM of 9774/946, 1432/9891

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 9774/946,1432/9891

Given numbers are 9774/946,1432/9891

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 9774,1432

Least Common Multiple of Numerators i.e. LCM of 9774,1432 is 6998184.

GCF of Denominators means GCF of 946,9891 as per the given fractions.

GCF of 946,9891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9774,1432

LCM of Fractions 9774/946,1432/9891 is 6998184

2 9774, 1432
4887, 716

∴ So the LCM of the given numbers is 2 x 4887 x 716 = 6998184

Least Common Multiple of 9774,1432 with GCF Formula

Least Common Multiple of 9774,1432 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 9774,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9774,1432) = 2

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

GCF(9774,1432) x common factors =2 x 1 = 2

LCM(9774,1432) = ( 9774 × 1432 ) / 2

LCM(9774,1432) = 13996368 / 2

LCM(9774,1432) = 6998184


Lets's calculate GCF of 946,9891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6998184/1

Therefore the LCM of Fractions 9774/946,1432/9891 is 6998184

Greatest Common Factor of 946,9891 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,9891 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Greatest Common Factor

We found the factors 946,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 946,9891 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 9774/946, 1432/9891

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 9774/946, 1432/9891?

Answer: LCM of Numerators as per given numbers 9774/946, 1432/9891 is

LCM of Numerators i.e. for 9774,1432 is 6998184

GCF of denominators i.e. for 946,9891 is 1.

Thus, LCM of Fractions is 6998184.Finally, LCM of Fractions for 9774/946, 1432/9891 is 6998184.