Least Common Multiple of 179/601, 9120/7164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 179/601, 9120/7164 quickly i.e. 1632480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/601, 9120/7164 is 1632480.

LCM(179/601, 9120/7164) = 1632480

LCM of 179/601, 9120/7164

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 179/601,9120/7164

Given numbers are 179/601,9120/7164

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 179,9120

Least Common Multiple of Numerators i.e. LCM of 179,9120 is 1632480.

GCF of Denominators means GCF of 601,7164 as per the given fractions.

GCF of 601,7164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,9120

LCM of Fractions 179/601,9120/7164 is 1632480

Given numbers has no common factors except 1. So, there LCM is their product i.e 1632480

Least Common Multiple of 179,9120 with GCF Formula

Least Common Multiple of 179,9120 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 179,9120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,9120) = 1

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

GCF(179,9120) x common factors =1 x 1 = 1

LCM(179,9120) = ( 179 × 9120 ) / 1

LCM(179,9120) = 1632480 / 1

LCM(179,9120) = 1632480


Lets's calculate GCF of 601,7164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1632480/1

Therefore the LCM of Fractions 179/601,9120/7164 is 1632480

Greatest Common Factor of 601,7164 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,7164 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Greatest Common Factor

We found the factors 601,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 601,7164 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 179/601, 9120/7164

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 179/601, 9120/7164?

Answer: LCM of Numerators as per given numbers 179/601, 9120/7164 is

LCM of Numerators i.e. for 179,9120 is 1632480

GCF of denominators i.e. for 601,7164 is 1.

Thus, LCM of Fractions is 1632480.Finally, LCM of Fractions for 179/601, 9120/7164 is 1632480.