Least Common Multiple of 892/20, 884/26, 978/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/20, 884/26, 978/490 quickly i.e. 48198774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/20, 884/26, 978/490 is 48198774.

LCM(892/20, 884/26, 978/490) = 48198774

LCM of 892/20, 884/26, 978/490

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 892/20,884/26,978/490

Given numbers are 892/20,884/26,978/490

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 892,884,978

Least Common Multiple of Numerators i.e. LCM of 892,884,978 is 96397548.

GCF of Denominators means GCF of 20,26,490 as per the given fractions.

GCF of 20,26,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,884,978

LCM of Fractions 892/20,884/26,978/490 is 48198774

2 892, 884, 978
2 446, 442, 489
223, 221, 489

∴ So the LCM of the given numbers is 2 x 2 x 223 x 221 x 489 = 96397548

Least Common Multiple of 892,884,978 with GCF Formula

Least Common Multiple of 892,884,978 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 892,884,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,884,978) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(892,884,978) x common factors =2 x 4 = 8

LCM(892,884,978) = ( 892 × 884 × 978 ) / 8

LCM(892,884,978) = 771180384 / 8

LCM(892,884,978) = 96397548


Lets's calculate GCF of 20,26,490

2 20, 26, 490
10, 13, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96397548/2

Therefore the LCM of Fractions 892/20,884/26,978/490 is 48198774

Greatest Common Factor of 20,26,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,26,490 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 20,26,490 . The biggest common factor number is the GCF number.
So the greatest common factor 20,26,490 is 2.


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 892/20, 884/26, 978/490

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 892/20, 884/26, 978/490?

Answer: LCM of Numerators as per given numbers 892/20, 884/26, 978/490 is

LCM of Numerators i.e. for 892,884,978 is 96397548

GCF of denominators i.e. for 20,26,490 is 2.

Thus, LCM of Fractions is 48198774.Finally, LCM of Fractions for 892/20, 884/26, 978/490 is 48198774.