Least Common Multiple of 75/734, 4870/9616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/734, 4870/9616 quickly i.e. 36525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/734, 4870/9616 is 36525.

LCM(75/734, 4870/9616) = 36525

LCM of 75/734, 4870/9616

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 75/734,4870/9616

Given numbers are 75/734,4870/9616

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 75,4870

Least Common Multiple of Numerators i.e. LCM of 75,4870 is 73050.

GCF of Denominators means GCF of 734,9616 as per the given fractions.

GCF of 734,9616 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,4870

LCM of Fractions 75/734,4870/9616 is 36525

5 75, 4870
15, 974

∴ So the LCM of the given numbers is 5 x 15 x 974 = 73050

Least Common Multiple of 75,4870 with GCF Formula

Least Common Multiple of 75,4870 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 75,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,4870) = 5

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

GCF(75,4870) x common factors =5 x 1 = 5

LCM(75,4870) = ( 75 × 4870 ) / 5

LCM(75,4870) = 365250 / 5

LCM(75,4870) = 73050


Lets's calculate GCF of 734,9616

2 734, 9616
367, 4808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73050/2

Therefore the LCM of Fractions 75/734,4870/9616 is 36525

Greatest Common Factor of 734,9616 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,9616 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 9616

List of positive integer factors of 9616 that divides 9616 without a remainder.

1,2,4,8,16,601,1202,2404,4808,9616

Greatest Common Factor

We found the factors 734,9616 . The biggest common factor number is the GCF number.
So the greatest common factor 734,9616 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 75/734, 4870/9616

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 75/734, 4870/9616?

Answer: LCM of Numerators as per given numbers 75/734, 4870/9616 is

LCM of Numerators i.e. for 75,4870 is 73050

GCF of denominators i.e. for 734,9616 is 2.

Thus, LCM of Fractions is 36525.Finally, LCM of Fractions for 75/734, 4870/9616 is 36525.