Least Common Multiple of 966/47, 989/92, 748/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/47, 989/92, 748/226 quickly i.e. 15535212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/47, 989/92, 748/226 is 15535212.

LCM(966/47, 989/92, 748/226) = 15535212

LCM of 966/47, 989/92, 748/226

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 966/47,989/92,748/226

Given numbers are 966/47,989/92,748/226

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 966,989,748

Least Common Multiple of Numerators i.e. LCM of 966,989,748 is 15535212.

GCF of Denominators means GCF of 47,92,226 as per the given fractions.

GCF of 47,92,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,989,748

LCM of Fractions 966/47,989/92,748/226 is 15535212

2 966, 989, 748
23 483, 989, 374
21, 43, 374

∴ So the LCM of the given numbers is 2 x 23 x 21 x 43 x 374 = 15535212

Least Common Multiple of 966,989,748 with GCF Formula

Least Common Multiple of 966,989,748 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 966,989,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,989,748) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(966,989,748) x common factors =1 x 46 = 46

LCM(966,989,748) = ( 966 × 989 × 748 ) / 46

LCM(966,989,748) = 714619752 / 46

LCM(966,989,748) = 15535212


Lets's calculate GCF of 47,92,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15535212/1

Therefore the LCM of Fractions 966/47,989/92,748/226 is 15535212

Greatest Common Factor of 47,92,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,92,226 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 47,92,226 . The biggest common factor number is the GCF number.
So the greatest common factor 47,92,226 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 966/47, 989/92, 748/226

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 966/47, 989/92, 748/226?

Answer: LCM of Numerators as per given numbers 966/47, 989/92, 748/226 is

LCM of Numerators i.e. for 966,989,748 is 15535212

GCF of denominators i.e. for 47,92,226 is 1.

Thus, LCM of Fractions is 15535212.Finally, LCM of Fractions for 966/47, 989/92, 748/226 is 15535212.