Least Common Multiple of 73/56, 76/38, 296/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/56, 76/38, 296/468 quickly i.e. 205276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/56, 76/38, 296/468 is 205276.

LCM(73/56, 76/38, 296/468) = 205276

LCM of 73/56, 76/38, 296/468

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 73/56,76/38,296/468

Given numbers are 73/56,76/38,296/468

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 73,76,296

Least Common Multiple of Numerators i.e. LCM of 73,76,296 is 410552.

GCF of Denominators means GCF of 56,38,468 as per the given fractions.

GCF of 56,38,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,76,296

LCM of Fractions 73/56,76/38,296/468 is 205276

2 73, 76, 296
2 73, 38, 148
73, 19, 74

∴ So the LCM of the given numbers is 2 x 2 x 73 x 19 x 74 = 410552

Least Common Multiple of 73,76,296 with GCF Formula

Least Common Multiple of 73,76,296 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 73,76,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,76,296) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(73,76,296) x common factors =1 x 4 = 4

LCM(73,76,296) = ( 73 × 76 × 296 ) / 4

LCM(73,76,296) = 1642208 / 4

LCM(73,76,296) = 410552


Lets's calculate GCF of 56,38,468

2 56, 38, 468
28, 19, 234

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410552/2

Therefore the LCM of Fractions 73/56,76/38,296/468 is 205276

Greatest Common Factor of 56,38,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,38,468 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 56,38,468 . The biggest common factor number is the GCF number.
So the greatest common factor 56,38,468 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/56, 76/38, 296/468

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 73/56, 76/38, 296/468?

Answer: LCM of Numerators as per given numbers 73/56, 76/38, 296/468 is

LCM of Numerators i.e. for 73,76,296 is 410552

GCF of denominators i.e. for 56,38,468 is 2.

Thus, LCM of Fractions is 205276.Finally, LCM of Fractions for 73/56, 76/38, 296/468 is 205276.