Least Common Multiple of 708/893, 1472/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 708/893, 1472/372 quickly i.e. 260544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/893, 1472/372 is 260544.

LCM(708/893, 1472/372) = 260544

LCM of 708/893, 1472/372

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 708/893,1472/372

Given numbers are 708/893,1472/372

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 708,1472

Least Common Multiple of Numerators i.e. LCM of 708,1472 is 260544.

GCF of Denominators means GCF of 893,372 as per the given fractions.

GCF of 893,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,1472

LCM of Fractions 708/893,1472/372 is 260544

2 708, 1472
2 354, 736
177, 368

∴ So the LCM of the given numbers is 2 x 2 x 177 x 368 = 260544

Least Common Multiple of 708,1472 with GCF Formula

Least Common Multiple of 708,1472 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 708,1472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,1472) = 4

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

GCF(708,1472) x common factors =4 x 1 = 4

LCM(708,1472) = ( 708 × 1472 ) / 4

LCM(708,1472) = 1042176 / 4

LCM(708,1472) = 260544


Lets's calculate GCF of 893,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260544/1

Therefore the LCM of Fractions 708/893,1472/372 is 260544

Greatest Common Factor of 893,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,372 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 893,372 . The biggest common factor number is the GCF number.
So the greatest common factor 893,372 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 708/893, 1472/372

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 708/893, 1472/372?

Answer: LCM of Numerators as per given numbers 708/893, 1472/372 is

LCM of Numerators i.e. for 708,1472 is 260544

GCF of denominators i.e. for 893,372 is 1.

Thus, LCM of Fractions is 260544.Finally, LCM of Fractions for 708/893, 1472/372 is 260544.