Least Common Multiple of 9216/74, 3494/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9216/74, 3494/370 quickly i.e. 16100352/74 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9216/74, 3494/370 is 16100352/74.

LCM(9216/74, 3494/370) = 16100352/74

LCM of 9216/74, 3494/370

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 9216/74,3494/370

Given numbers are 9216/74,3494/370

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 9216,3494

Least Common Multiple of Numerators i.e. LCM of 9216,3494 is 16100352.

GCF of Denominators means GCF of 74,370 as per the given fractions.

GCF of 74,370 is 74 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9216,3494

LCM of Fractions 9216/74,3494/370 is 16100352/74

2 9216, 3494
4608, 1747

∴ So the LCM of the given numbers is 2 x 4608 x 1747 = 16100352

Least Common Multiple of 9216,3494 with GCF Formula

Least Common Multiple of 9216,3494 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 9216,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9216,3494) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(9216,3494) x common factors =2 x 1 = 2

LCM(9216,3494) = ( 9216 × 3494 ) / 2

LCM(9216,3494) = 32200704 / 2

LCM(9216,3494) = 16100352


Lets's calculate GCF of 74,370

2 74, 370
37 37, 185
1, 5

∴ So the GCF of the given numbers is 2 x 37 = 74

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16100352/74

Therefore the LCM of Fractions 9216/74,3494/370 is 16100352/74

Greatest Common Factor of 74,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,370 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 74,370 . The biggest common factor number is the GCF number.
So the greatest common factor 74,370 is 74.


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 9216/74, 3494/370

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 9216/74, 3494/370?

Answer: LCM of Numerators as per given numbers 9216/74, 3494/370 is

LCM of Numerators i.e. for 9216,3494 is 16100352

GCF of denominators i.e. for 74,370 is 74.

Thus, LCM of Fractions is 16100352/74.Finally, LCM of Fractions for 9216/74, 3494/370 is 16100352/74.