Least Common Multiple of 764/726, 648/177, 112/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/726, 648/177, 112/158 quickly i.e. 1732752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/726, 648/177, 112/158 is 1732752.

LCM(764/726, 648/177, 112/158) = 1732752

LCM of 764/726, 648/177, 112/158

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 764/726,648/177,112/158

Given numbers are 764/726,648/177,112/158

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 764,648,112

Least Common Multiple of Numerators i.e. LCM of 764,648,112 is 1732752.

GCF of Denominators means GCF of 726,177,158 as per the given fractions.

GCF of 726,177,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,648,112

LCM of Fractions 764/726,648/177,112/158 is 1732752

2 764, 648, 112
2 382, 324, 56
2 191, 162, 28
191, 81, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 191 x 81 x 14 = 1732752

Least Common Multiple of 764,648,112 with GCF Formula

Least Common Multiple of 764,648,112 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 764,648,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,648,112) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(764,648,112) x common factors =4 x 8 = 32

LCM(764,648,112) = ( 764 × 648 × 112 ) / 32

LCM(764,648,112) = 55448064 / 32

LCM(764,648,112) = 1732752


Lets's calculate GCF of 726,177,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1732752/1

Therefore the LCM of Fractions 764/726,648/177,112/158 is 1732752

Greatest Common Factor of 726,177,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,177,158 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 726,177,158 . The biggest common factor number is the GCF number.
So the greatest common factor 726,177,158 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 764/726, 648/177, 112/158

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 764/726, 648/177, 112/158?

Answer: LCM of Numerators as per given numbers 764/726, 648/177, 112/158 is

LCM of Numerators i.e. for 764,648,112 is 1732752

GCF of denominators i.e. for 726,177,158 is 1.

Thus, LCM of Fractions is 1732752.Finally, LCM of Fractions for 764/726, 648/177, 112/158 is 1732752.