Least Common Multiple of 161/447, 577/177, 138/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 161/447, 577/177, 138/750 quickly i.e. 185794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/447, 577/177, 138/750 is 185794.

LCM(161/447, 577/177, 138/750) = 185794

LCM of 161/447, 577/177, 138/750

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 161/447,577/177,138/750

Given numbers are 161/447,577/177,138/750

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 161,577,138

Least Common Multiple of Numerators i.e. LCM of 161,577,138 is 557382.

GCF of Denominators means GCF of 447,177,750 as per the given fractions.

GCF of 447,177,750 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,577,138

LCM of Fractions 161/447,577/177,138/750 is 185794

23 161, 577, 138
7, 577, 6

∴ So the LCM of the given numbers is 23 x 7 x 577 x 6 = 557382

Least Common Multiple of 161,577,138 with GCF Formula

Least Common Multiple of 161,577,138 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 161,577,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,577,138) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(161,577,138) x common factors =1 x 23 = 23

LCM(161,577,138) = ( 161 × 577 × 138 ) / 23

LCM(161,577,138) = 12819786 / 23

LCM(161,577,138) = 557382


Lets's calculate GCF of 447,177,750

3 447, 177, 750
149, 59, 250

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557382/3

Therefore the LCM of Fractions 161/447,577/177,138/750 is 185794

Greatest Common Factor of 447,177,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,177,750 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 177

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

1,3,59,177

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 447,177,750 . The biggest common factor number is the GCF number.
So the greatest common factor 447,177,750 is 3.


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 161/447, 577/177, 138/750

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 161/447, 577/177, 138/750?

Answer: LCM of Numerators as per given numbers 161/447, 577/177, 138/750 is

LCM of Numerators i.e. for 161,577,138 is 557382

GCF of denominators i.e. for 447,177,750 is 3.

Thus, LCM of Fractions is 185794.Finally, LCM of Fractions for 161/447, 577/177, 138/750 is 185794.