Least Common Multiple of 152/97, 592/7909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 152/97, 592/7909 quickly i.e. 11248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/97, 592/7909 is 11248.

LCM(152/97, 592/7909) = 11248

LCM of 152/97, 592/7909

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 152/97,592/7909

Given numbers are 152/97,592/7909

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 152,592

Least Common Multiple of Numerators i.e. LCM of 152,592 is 11248.

GCF of Denominators means GCF of 97,7909 as per the given fractions.

GCF of 97,7909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,592

LCM of Fractions 152/97,592/7909 is 11248

2 152, 592
2 76, 296
2 38, 148
19, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 74 = 11248

Least Common Multiple of 152,592 with GCF Formula

Least Common Multiple of 152,592 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 152,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,592) = 8

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

GCF(152,592) x common factors =8 x 1 = 8

LCM(152,592) = ( 152 × 592 ) / 8

LCM(152,592) = 89984 / 8

LCM(152,592) = 11248


Lets's calculate GCF of 97,7909

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11248/1

Therefore the LCM of Fractions 152/97,592/7909 is 11248

Greatest Common Factor of 97,7909 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,7909 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1,11,719,7909

Greatest Common Factor

We found the factors 97,7909 . The biggest common factor number is the GCF number.
So the greatest common factor 97,7909 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 152/97, 592/7909

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 152/97, 592/7909?

Answer: LCM of Numerators as per given numbers 152/97, 592/7909 is

LCM of Numerators i.e. for 152,592 is 11248

GCF of denominators i.e. for 97,7909 is 1.

Thus, LCM of Fractions is 11248.Finally, LCM of Fractions for 152/97, 592/7909 is 11248.