Least Common Multiple of 85/292, 30/444, 820/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/292, 30/444, 820/912 quickly i.e. 10455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/292, 30/444, 820/912 is 10455.

LCM(85/292, 30/444, 820/912) = 10455

LCM of 85/292, 30/444, 820/912

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 85/292,30/444,820/912

Given numbers are 85/292,30/444,820/912

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 85,30,820

Least Common Multiple of Numerators i.e. LCM of 85,30,820 is 41820.

GCF of Denominators means GCF of 292,444,912 as per the given fractions.

GCF of 292,444,912 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,30,820

LCM of Fractions 85/292,30/444,820/912 is 10455

2 85, 30, 820
5 85, 15, 410
17, 3, 82

∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 82 = 41820

Least Common Multiple of 85,30,820 with GCF Formula

Least Common Multiple of 85,30,820 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 85,30,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,30,820) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(85,30,820) x common factors =5 x 10 = 50

LCM(85,30,820) = ( 85 × 30 × 820 ) / 50

LCM(85,30,820) = 2091000 / 50

LCM(85,30,820) = 41820


Lets's calculate GCF of 292,444,912

2 292, 444, 912
2 146, 222, 456
73, 111, 228

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41820/4

Therefore the LCM of Fractions 85/292,30/444,820/912 is 10455

Greatest Common Factor of 292,444,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,444,912 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 292,444,912 . The biggest common factor number is the GCF number.
So the greatest common factor 292,444,912 is 4.


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 85/292, 30/444, 820/912

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 85/292, 30/444, 820/912?

Answer: LCM of Numerators as per given numbers 85/292, 30/444, 820/912 is

LCM of Numerators i.e. for 85,30,820 is 41820

GCF of denominators i.e. for 292,444,912 is 4.

Thus, LCM of Fractions is 10455.Finally, LCM of Fractions for 85/292, 30/444, 820/912 is 10455.