Least Common Multiple of 87/330, 175/850, 774/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/330, 175/850, 774/920 quickly i.e. 392805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/330, 175/850, 774/920 is 392805.

LCM(87/330, 175/850, 774/920) = 392805

LCM of 87/330, 175/850, 774/920

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 87/330,175/850,774/920

Given numbers are 87/330,175/850,774/920

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 87,175,774

Least Common Multiple of Numerators i.e. LCM of 87,175,774 is 3928050.

GCF of Denominators means GCF of 330,850,920 as per the given fractions.

GCF of 330,850,920 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,175,774

LCM of Fractions 87/330,175/850,774/920 is 392805

3 87, 175, 774
29, 175, 258

∴ So the LCM of the given numbers is 3 x 29 x 175 x 258 = 3928050

Least Common Multiple of 87,175,774 with GCF Formula

Least Common Multiple of 87,175,774 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 87,175,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,175,774) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,175,774) x common factors =1 x 3 = 3

LCM(87,175,774) = ( 87 × 175 × 774 ) / 3

LCM(87,175,774) = 11784150 / 3

LCM(87,175,774) = 3928050


Lets's calculate GCF of 330,850,920

2 330, 850, 920
5 165, 425, 460
33, 85, 92

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3928050/10

Therefore the LCM of Fractions 87/330,175/850,774/920 is 392805

Greatest Common Factor of 330,850,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,850,920 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 330,850,920 . The biggest common factor number is the GCF number.
So the greatest common factor 330,850,920 is 10.


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 87/330, 175/850, 774/920

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 87/330, 175/850, 774/920?

Answer: LCM of Numerators as per given numbers 87/330, 175/850, 774/920 is

LCM of Numerators i.e. for 87,175,774 is 3928050

GCF of denominators i.e. for 330,850,920 is 10.

Thus, LCM of Fractions is 392805.Finally, LCM of Fractions for 87/330, 175/850, 774/920 is 392805.