Least Common Multiple of 296/996, 636/454, 925/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/996, 636/454, 925/966 quickly i.e. 588300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/996, 636/454, 925/966 is 588300.

LCM(296/996, 636/454, 925/966) = 588300

LCM of 296/996, 636/454, 925/966

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 296/996,636/454,925/966

Given numbers are 296/996,636/454,925/966

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 296,636,925

Least Common Multiple of Numerators i.e. LCM of 296,636,925 is 1176600.

GCF of Denominators means GCF of 996,454,966 as per the given fractions.

GCF of 996,454,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,636,925

LCM of Fractions 296/996,636/454,925/966 is 588300

2 296, 636, 925
2 148, 318, 925
37 74, 159, 925
2, 159, 25

∴ So the LCM of the given numbers is 2 x 2 x 37 x 2 x 159 x 25 = 1176600

Least Common Multiple of 296,636,925 with GCF Formula

Least Common Multiple of 296,636,925 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 296,636,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,636,925) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(296,636,925) x common factors =1 x 148 = 148

LCM(296,636,925) = ( 296 × 636 × 925 ) / 148

LCM(296,636,925) = 174136800 / 148

LCM(296,636,925) = 1176600


Lets's calculate GCF of 996,454,966

2 996, 454, 966
498, 227, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1176600/2

Therefore the LCM of Fractions 296/996,636/454,925/966 is 588300

Greatest Common Factor of 996,454,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,454,966 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 996,454,966 . The biggest common factor number is the GCF number.
So the greatest common factor 996,454,966 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 296/996, 636/454, 925/966

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 296/996, 636/454, 925/966?

Answer: LCM of Numerators as per given numbers 296/996, 636/454, 925/966 is

LCM of Numerators i.e. for 296,636,925 is 1176600

GCF of denominators i.e. for 996,454,966 is 2.

Thus, LCM of Fractions is 588300.Finally, LCM of Fractions for 296/996, 636/454, 925/966 is 588300.