Least Common Multiple of 237/592, 4015/7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 237/592, 4015/7176 quickly i.e. 951555/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 237/592, 4015/7176 is 951555/8.

LCM(237/592, 4015/7176) = 951555/8

LCM of 237/592, 4015/7176

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 237/592,4015/7176

Given numbers are 237/592,4015/7176

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 237,4015

Least Common Multiple of Numerators i.e. LCM of 237,4015 is 951555.

GCF of Denominators means GCF of 592,7176 as per the given fractions.

GCF of 592,7176 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 237,4015

LCM of Fractions 237/592,4015/7176 is 951555/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 951555

Least Common Multiple of 237,4015 with GCF Formula

Least Common Multiple of 237,4015 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 237,4015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,4015) = 1

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

GCF(237,4015) x common factors =1 x 1 = 1

LCM(237,4015) = ( 237 × 4015 ) / 1

LCM(237,4015) = 951555 / 1

LCM(237,4015) = 951555


Lets's calculate GCF of 592,7176

2 592, 7176
2 296, 3588
2 148, 1794
74, 897

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951555/8

Therefore the LCM of Fractions 237/592,4015/7176 is 951555/8

Greatest Common Factor of 592,7176 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,7176 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 592,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 592,7176 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 237/592, 4015/7176

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 237/592, 4015/7176?

Answer: LCM of Numerators as per given numbers 237/592, 4015/7176 is

LCM of Numerators i.e. for 237,4015 is 951555

GCF of denominators i.e. for 592,7176 is 8.

Thus, LCM of Fractions is 951555/8.Finally, LCM of Fractions for 237/592, 4015/7176 is 951555/8.