Least Common Multiple of 9152/152, 7880/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9152/152, 7880/434 quickly i.e. 4507360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9152/152, 7880/434 is 4507360.

LCM(9152/152, 7880/434) = 4507360

LCM of 9152/152, 7880/434

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 9152/152,7880/434

Given numbers are 9152/152,7880/434

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 9152,7880

Least Common Multiple of Numerators i.e. LCM of 9152,7880 is 9014720.

GCF of Denominators means GCF of 152,434 as per the given fractions.

GCF of 152,434 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9152,7880

LCM of Fractions 9152/152,7880/434 is 4507360

2 9152, 7880
2 4576, 3940
2 2288, 1970
1144, 985

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1144 x 985 = 9014720

Least Common Multiple of 9152,7880 with GCF Formula

Least Common Multiple of 9152,7880 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 9152,7880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9152,7880) = 8

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

GCF(9152,7880) x common factors =8 x 1 = 8

LCM(9152,7880) = ( 9152 × 7880 ) / 8

LCM(9152,7880) = 72117760 / 8

LCM(9152,7880) = 9014720


Lets's calculate GCF of 152,434

2 152, 434
76, 217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9014720/2

Therefore the LCM of Fractions 9152/152,7880/434 is 4507360

Greatest Common Factor of 152,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,434 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 152,434 . The biggest common factor number is the GCF number.
So the greatest common factor 152,434 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 9152/152, 7880/434

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 9152/152, 7880/434?

Answer: LCM of Numerators as per given numbers 9152/152, 7880/434 is

LCM of Numerators i.e. for 9152,7880 is 9014720

GCF of denominators i.e. for 152,434 is 2.

Thus, LCM of Fractions is 4507360.Finally, LCM of Fractions for 9152/152, 7880/434 is 4507360.