Least Common Multiple of 10/705, 927/546, 444/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/705, 927/546, 444/177 quickly i.e. 228660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/705, 927/546, 444/177 is 228660.

LCM(10/705, 927/546, 444/177) = 228660

LCM of 10/705, 927/546, 444/177

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 10/705,927/546,444/177

Given numbers are 10/705,927/546,444/177

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 10,927,444

Least Common Multiple of Numerators i.e. LCM of 10,927,444 is 685980.

GCF of Denominators means GCF of 705,546,177 as per the given fractions.

GCF of 705,546,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,927,444

LCM of Fractions 10/705,927/546,444/177 is 228660

2 10, 927, 444
3 5, 927, 222
5, 309, 74

∴ So the LCM of the given numbers is 2 x 3 x 5 x 309 x 74 = 685980

Least Common Multiple of 10,927,444 with GCF Formula

Least Common Multiple of 10,927,444 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 10,927,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,927,444) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(10,927,444) x common factors =1 x 6 = 6

LCM(10,927,444) = ( 10 × 927 × 444 ) / 6

LCM(10,927,444) = 4115880 / 6

LCM(10,927,444) = 685980


Lets's calculate GCF of 705,546,177

3 705, 546, 177
235, 182, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685980/3

Therefore the LCM of Fractions 10/705,927/546,444/177 is 228660

Greatest Common Factor of 705,546,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,546,177 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 177

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

1,3,59,177

Greatest Common Factor

We found the factors 705,546,177 . The biggest common factor number is the GCF number.
So the greatest common factor 705,546,177 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 10/705, 927/546, 444/177

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 10/705, 927/546, 444/177?

Answer: LCM of Numerators as per given numbers 10/705, 927/546, 444/177 is

LCM of Numerators i.e. for 10,927,444 is 685980

GCF of denominators i.e. for 705,546,177 is 3.

Thus, LCM of Fractions is 228660.Finally, LCM of Fractions for 10/705, 927/546, 444/177 is 228660.