Least Common Multiple of 43/436, 966/312, 196/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/436, 966/312, 196/984 quickly i.e. 145383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/436, 966/312, 196/984 is 145383.

LCM(43/436, 966/312, 196/984) = 145383

LCM of 43/436, 966/312, 196/984

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 43/436,966/312,196/984

Given numbers are 43/436,966/312,196/984

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 43,966,196

Least Common Multiple of Numerators i.e. LCM of 43,966,196 is 581532.

GCF of Denominators means GCF of 436,312,984 as per the given fractions.

GCF of 436,312,984 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,966,196

LCM of Fractions 43/436,966/312,196/984 is 145383

2 43, 966, 196
7 43, 483, 98
43, 69, 14

∴ So the LCM of the given numbers is 2 x 7 x 43 x 69 x 14 = 581532

Least Common Multiple of 43,966,196 with GCF Formula

Least Common Multiple of 43,966,196 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 43,966,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,966,196) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(43,966,196) x common factors =1 x 14 = 14

LCM(43,966,196) = ( 43 × 966 × 196 ) / 14

LCM(43,966,196) = 8141448 / 14

LCM(43,966,196) = 581532


Lets's calculate GCF of 436,312,984

2 436, 312, 984
2 218, 156, 492
109, 78, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581532/4

Therefore the LCM of Fractions 43/436,966/312,196/984 is 145383

Greatest Common Factor of 436,312,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,312,984 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 436,312,984 . The biggest common factor number is the GCF number.
So the greatest common factor 436,312,984 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 43/436, 966/312, 196/984

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 43/436, 966/312, 196/984?

Answer: LCM of Numerators as per given numbers 43/436, 966/312, 196/984 is

LCM of Numerators i.e. for 43,966,196 is 581532

GCF of denominators i.e. for 436,312,984 is 4.

Thus, LCM of Fractions is 145383.Finally, LCM of Fractions for 43/436, 966/312, 196/984 is 145383.