Least Common Multiple of 746/364, 281/142, 574/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/364, 281/142, 574/867 quickly i.e. 60162662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/364, 281/142, 574/867 is 60162662.

LCM(746/364, 281/142, 574/867) = 60162662

LCM of 746/364, 281/142, 574/867

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 746/364,281/142,574/867

Given numbers are 746/364,281/142,574/867

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 746,281,574

Least Common Multiple of Numerators i.e. LCM of 746,281,574 is 60162662.

GCF of Denominators means GCF of 364,142,867 as per the given fractions.

GCF of 364,142,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,281,574

LCM of Fractions 746/364,281/142,574/867 is 60162662

2 746, 281, 574
373, 281, 287

∴ So the LCM of the given numbers is 2 x 373 x 281 x 287 = 60162662

Least Common Multiple of 746,281,574 with GCF Formula

Least Common Multiple of 746,281,574 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 746,281,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,281,574) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(746,281,574) x common factors =1 x 2 = 2

LCM(746,281,574) = ( 746 × 281 × 574 ) / 2

LCM(746,281,574) = 120325324 / 2

LCM(746,281,574) = 60162662


Lets's calculate GCF of 364,142,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60162662/1

Therefore the LCM of Fractions 746/364,281/142,574/867 is 60162662

Greatest Common Factor of 364,142,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,142,867 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 364,142,867 . The biggest common factor number is the GCF number.
So the greatest common factor 364,142,867 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 746/364, 281/142, 574/867

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 746/364, 281/142, 574/867?

Answer: LCM of Numerators as per given numbers 746/364, 281/142, 574/867 is

LCM of Numerators i.e. for 746,281,574 is 60162662

GCF of denominators i.e. for 364,142,867 is 1.

Thus, LCM of Fractions is 60162662.Finally, LCM of Fractions for 746/364, 281/142, 574/867 is 60162662.