Least Common Multiple of 748/46, 196/37, 539/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/46, 196/37, 539/166 quickly i.e. 36652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/46, 196/37, 539/166 is 36652.

LCM(748/46, 196/37, 539/166) = 36652

LCM of 748/46, 196/37, 539/166

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 748/46,196/37,539/166

Given numbers are 748/46,196/37,539/166

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 748,196,539

Least Common Multiple of Numerators i.e. LCM of 748,196,539 is 36652.

GCF of Denominators means GCF of 46,37,166 as per the given fractions.

GCF of 46,37,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,196,539

LCM of Fractions 748/46,196/37,539/166 is 36652

2 748, 196, 539
2 374, 98, 539
7 187, 49, 539
7 187, 7, 77
11 187, 1, 11
17, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 11 x 17 x 1 x 1 = 36652

Least Common Multiple of 748,196,539 with GCF Formula

Least Common Multiple of 748,196,539 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 748,196,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,196,539) = 1

common factors(in case of two or more numbers have common factors) = 2156

GCF(748,196,539) x common factors =1 x 2156 = 2156

LCM(748,196,539) = ( 748 × 196 × 539 ) / 2156

LCM(748,196,539) = 79021712 / 2156

LCM(748,196,539) = 36652


Lets's calculate GCF of 46,37,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36652/1

Therefore the LCM of Fractions 748/46,196/37,539/166 is 36652

Greatest Common Factor of 46,37,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,37,166 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 46,37,166 . The biggest common factor number is the GCF number.
So the greatest common factor 46,37,166 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 748/46, 196/37, 539/166

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 748/46, 196/37, 539/166?

Answer: LCM of Numerators as per given numbers 748/46, 196/37, 539/166 is

LCM of Numerators i.e. for 748,196,539 is 36652

GCF of denominators i.e. for 46,37,166 is 1.

Thus, LCM of Fractions is 36652.Finally, LCM of Fractions for 748/46, 196/37, 539/166 is 36652.