Least Common Multiple of 40/98, 764/30, 986/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/98, 764/30, 986/992 quickly i.e. 1883260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/98, 764/30, 986/992 is 1883260.

LCM(40/98, 764/30, 986/992) = 1883260

LCM of 40/98, 764/30, 986/992

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 40/98,764/30,986/992

Given numbers are 40/98,764/30,986/992

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 40,764,986

Least Common Multiple of Numerators i.e. LCM of 40,764,986 is 3766520.

GCF of Denominators means GCF of 98,30,992 as per the given fractions.

GCF of 98,30,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,764,986

LCM of Fractions 40/98,764/30,986/992 is 1883260

2 40, 764, 986
2 20, 382, 493
10, 191, 493

∴ So the LCM of the given numbers is 2 x 2 x 10 x 191 x 493 = 3766520

Least Common Multiple of 40,764,986 with GCF Formula

Least Common Multiple of 40,764,986 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 40,764,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,764,986) = 2

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

GCF(40,764,986) x common factors =2 x 4 = 8

LCM(40,764,986) = ( 40 × 764 × 986 ) / 8

LCM(40,764,986) = 30132160 / 8

LCM(40,764,986) = 3766520


Lets's calculate GCF of 98,30,992

2 98, 30, 992
49, 15, 496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3766520/2

Therefore the LCM of Fractions 40/98,764/30,986/992 is 1883260

Greatest Common Factor of 98,30,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,30,992 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 98,30,992 . The biggest common factor number is the GCF number.
So the greatest common factor 98,30,992 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 40/98, 764/30, 986/992

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 40/98, 764/30, 986/992?

Answer: LCM of Numerators as per given numbers 40/98, 764/30, 986/992 is

LCM of Numerators i.e. for 40,764,986 is 3766520

GCF of denominators i.e. for 98,30,992 is 2.

Thus, LCM of Fractions is 1883260.Finally, LCM of Fractions for 40/98, 764/30, 986/992 is 1883260.