Least Common Multiple of 176/80, 858/96, 771/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 176/80, 858/96, 771/766 quickly i.e. 882024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 176/80, 858/96, 771/766 is 882024.

LCM(176/80, 858/96, 771/766) = 882024

LCM of 176/80, 858/96, 771/766

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 176/80,858/96,771/766

Given numbers are 176/80,858/96,771/766

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 176,858,771

Least Common Multiple of Numerators i.e. LCM of 176,858,771 is 1764048.

GCF of Denominators means GCF of 80,96,766 as per the given fractions.

GCF of 80,96,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 176,858,771

LCM of Fractions 176/80,858/96,771/766 is 882024

2 176, 858, 771
3 88, 429, 771
11 88, 143, 257
8, 13, 257

∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 13 x 257 = 1764048

Least Common Multiple of 176,858,771 with GCF Formula

Least Common Multiple of 176,858,771 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 176,858,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,858,771) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(176,858,771) x common factors =1 x 66 = 66

LCM(176,858,771) = ( 176 × 858 × 771 ) / 66

LCM(176,858,771) = 116427168 / 66

LCM(176,858,771) = 1764048


Lets's calculate GCF of 80,96,766

2 80, 96, 766
40, 48, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1764048/2

Therefore the LCM of Fractions 176/80,858/96,771/766 is 882024

Greatest Common Factor of 80,96,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,96,766 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 80,96,766 . The biggest common factor number is the GCF number.
So the greatest common factor 80,96,766 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 176/80, 858/96, 771/766

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 176/80, 858/96, 771/766?

Answer: LCM of Numerators as per given numbers 176/80, 858/96, 771/766 is

LCM of Numerators i.e. for 176,858,771 is 1764048

GCF of denominators i.e. for 80,96,766 is 2.

Thus, LCM of Fractions is 882024.Finally, LCM of Fractions for 176/80, 858/96, 771/766 is 882024.