Least Common Multiple of 72/22, 148/14, 456/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/22, 148/14, 456/263 quickly i.e. 50616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/22, 148/14, 456/263 is 50616.

LCM(72/22, 148/14, 456/263) = 50616

LCM of 72/22, 148/14, 456/263

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 72/22,148/14,456/263

Given numbers are 72/22,148/14,456/263

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 72,148,456

Least Common Multiple of Numerators i.e. LCM of 72,148,456 is 50616.

GCF of Denominators means GCF of 22,14,263 as per the given fractions.

GCF of 22,14,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,148,456

LCM of Fractions 72/22,148/14,456/263 is 50616

2 72, 148, 456
2 36, 74, 228
2 18, 37, 114
3 9, 37, 57
3, 37, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 37 x 19 = 50616

Least Common Multiple of 72,148,456 with GCF Formula

Least Common Multiple of 72,148,456 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 72,148,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,148,456) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(72,148,456) x common factors =4 x 24 = 96

LCM(72,148,456) = ( 72 × 148 × 456 ) / 96

LCM(72,148,456) = 4859136 / 96

LCM(72,148,456) = 50616


Lets's calculate GCF of 22,14,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50616/1

Therefore the LCM of Fractions 72/22,148/14,456/263 is 50616

Greatest Common Factor of 22,14,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,14,263 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 22,14,263 . The biggest common factor number is the GCF number.
So the greatest common factor 22,14,263 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/22, 148/14, 456/263

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 72/22, 148/14, 456/263?

Answer: LCM of Numerators as per given numbers 72/22, 148/14, 456/263 is

LCM of Numerators i.e. for 72,148,456 is 50616

GCF of denominators i.e. for 22,14,263 is 1.

Thus, LCM of Fractions is 50616.Finally, LCM of Fractions for 72/22, 148/14, 456/263 is 50616.