Least Common Multiple of 96/892, 405/732, 126/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/892, 405/732, 126/998 quickly i.e. 45360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/892, 405/732, 126/998 is 45360.

LCM(96/892, 405/732, 126/998) = 45360

LCM of 96/892, 405/732, 126/998

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 96/892,405/732,126/998

Given numbers are 96/892,405/732,126/998

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 96,405,126

Least Common Multiple of Numerators i.e. LCM of 96,405,126 is 90720.

GCF of Denominators means GCF of 892,732,998 as per the given fractions.

GCF of 892,732,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,405,126

LCM of Fractions 96/892,405/732,126/998 is 45360

2 96, 405, 126
3 48, 405, 63
3 16, 135, 21
16, 45, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 45 x 7 = 90720

Least Common Multiple of 96,405,126 with GCF Formula

Least Common Multiple of 96,405,126 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 96,405,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,405,126) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(96,405,126) x common factors =3 x 18 = 54

LCM(96,405,126) = ( 96 × 405 × 126 ) / 54

LCM(96,405,126) = 4898880 / 54

LCM(96,405,126) = 90720


Lets's calculate GCF of 892,732,998

2 892, 732, 998
446, 366, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90720/2

Therefore the LCM of Fractions 96/892,405/732,126/998 is 45360

Greatest Common Factor of 892,732,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,732,998 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 892,732,998 . The biggest common factor number is the GCF number.
So the greatest common factor 892,732,998 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 96/892, 405/732, 126/998

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 96/892, 405/732, 126/998?

Answer: LCM of Numerators as per given numbers 96/892, 405/732, 126/998 is

LCM of Numerators i.e. for 96,405,126 is 90720

GCF of denominators i.e. for 892,732,998 is 2.

Thus, LCM of Fractions is 45360.Finally, LCM of Fractions for 96/892, 405/732, 126/998 is 45360.