Least Common Multiple of 74/848, 446/608, 947/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/848, 446/608, 947/830 quickly i.e. 7813697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/848, 446/608, 947/830 is 7813697.

LCM(74/848, 446/608, 947/830) = 7813697

LCM of 74/848, 446/608, 947/830

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 74/848,446/608,947/830

Given numbers are 74/848,446/608,947/830

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 74,446,947

Least Common Multiple of Numerators i.e. LCM of 74,446,947 is 15627394.

GCF of Denominators means GCF of 848,608,830 as per the given fractions.

GCF of 848,608,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,446,947

LCM of Fractions 74/848,446/608,947/830 is 7813697

2 74, 446, 947
37, 223, 947

∴ So the LCM of the given numbers is 2 x 37 x 223 x 947 = 15627394

Least Common Multiple of 74,446,947 with GCF Formula

Least Common Multiple of 74,446,947 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 74,446,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,446,947) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,446,947) x common factors =1 x 2 = 2

LCM(74,446,947) = ( 74 × 446 × 947 ) / 2

LCM(74,446,947) = 31254788 / 2

LCM(74,446,947) = 15627394


Lets's calculate GCF of 848,608,830

2 848, 608, 830
424, 304, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15627394/2

Therefore the LCM of Fractions 74/848,446/608,947/830 is 7813697

Greatest Common Factor of 848,608,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,608,830 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 848,608,830 . The biggest common factor number is the GCF number.
So the greatest common factor 848,608,830 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 74/848, 446/608, 947/830

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 74/848, 446/608, 947/830?

Answer: LCM of Numerators as per given numbers 74/848, 446/608, 947/830 is

LCM of Numerators i.e. for 74,446,947 is 15627394

GCF of denominators i.e. for 848,608,830 is 2.

Thus, LCM of Fractions is 7813697.Finally, LCM of Fractions for 74/848, 446/608, 947/830 is 7813697.