Least Common Multiple of 74/832, 429/224, 981/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/832, 429/224, 981/946 quickly i.e. 5190471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/832, 429/224, 981/946 is 5190471.

LCM(74/832, 429/224, 981/946) = 5190471

LCM of 74/832, 429/224, 981/946

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 74/832,429/224,981/946

Given numbers are 74/832,429/224,981/946

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 74,429,981

Least Common Multiple of Numerators i.e. LCM of 74,429,981 is 10380942.

GCF of Denominators means GCF of 832,224,946 as per the given fractions.

GCF of 832,224,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,429,981

LCM of Fractions 74/832,429/224,981/946 is 5190471

3 74, 429, 981
74, 143, 327

∴ So the LCM of the given numbers is 3 x 74 x 143 x 327 = 10380942

Least Common Multiple of 74,429,981 with GCF Formula

Least Common Multiple of 74,429,981 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 74,429,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,429,981) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(74,429,981) x common factors =1 x 3 = 3

LCM(74,429,981) = ( 74 × 429 × 981 ) / 3

LCM(74,429,981) = 31142826 / 3

LCM(74,429,981) = 10380942


Lets's calculate GCF of 832,224,946

2 832, 224, 946
416, 112, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10380942/2

Therefore the LCM of Fractions 74/832,429/224,981/946 is 5190471

Greatest Common Factor of 832,224,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,224,946 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 832,224,946 . The biggest common factor number is the GCF number.
So the greatest common factor 832,224,946 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 74/832, 429/224, 981/946

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 74/832, 429/224, 981/946?

Answer: LCM of Numerators as per given numbers 74/832, 429/224, 981/946 is

LCM of Numerators i.e. for 74,429,981 is 10380942

GCF of denominators i.e. for 832,224,946 is 2.

Thus, LCM of Fractions is 5190471.Finally, LCM of Fractions for 74/832, 429/224, 981/946 is 5190471.