Least Common Multiple of 74/950, 7104/7702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/950, 7104/7702 quickly i.e. 3552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/950, 7104/7702 is 3552.

LCM(74/950, 7104/7702) = 3552

LCM of 74/950, 7104/7702

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 74/950,7104/7702

Given numbers are 74/950,7104/7702

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 74,7104

Least Common Multiple of Numerators i.e. LCM of 74,7104 is 7104.

GCF of Denominators means GCF of 950,7702 as per the given fractions.

GCF of 950,7702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,7104

LCM of Fractions 74/950,7104/7702 is 3552

2 74, 7104
37 37, 3552
1, 96

∴ So the LCM of the given numbers is 2 x 37 x 1 x 96 = 7104

Least Common Multiple of 74,7104 with GCF Formula

Least Common Multiple of 74,7104 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 74,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,7104) = 74

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

GCF(74,7104) x common factors =74 x 1 = 74

LCM(74,7104) = ( 74 × 7104 ) / 74

LCM(74,7104) = 525696 / 74

LCM(74,7104) = 7104


Lets's calculate GCF of 950,7702

2 950, 7702
475, 3851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7104/2

Therefore the LCM of Fractions 74/950,7104/7702 is 3552

Greatest Common Factor of 950,7702 By Matching Biggest Common Factor Method

Greatest Common Factor of 950,7702 By Matching Biggest Common Factor Method

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1,2,3851,7702

Greatest Common Factor

We found the factors 950,7702 . The biggest common factor number is the GCF number.
So the greatest common factor 950,7702 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 74/950, 7104/7702

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 74/950, 7104/7702?

Answer: LCM of Numerators as per given numbers 74/950, 7104/7702 is

LCM of Numerators i.e. for 74,7104 is 7104

GCF of denominators i.e. for 950,7702 is 2.

Thus, LCM of Fractions is 3552.Finally, LCM of Fractions for 74/950, 7104/7702 is 3552.