Least Common Multiple of 924/590, 7295/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 924/590, 7295/688 quickly i.e. 3370290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/590, 7295/688 is 3370290.

LCM(924/590, 7295/688) = 3370290

LCM of 924/590, 7295/688

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 924/590,7295/688

Given numbers are 924/590,7295/688

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 924,7295

Least Common Multiple of Numerators i.e. LCM of 924,7295 is 6740580.

GCF of Denominators means GCF of 590,688 as per the given fractions.

GCF of 590,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,7295

LCM of Fractions 924/590,7295/688 is 3370290

Given numbers has no common factors except 1. So, there LCM is their product i.e 6740580

Least Common Multiple of 924,7295 with GCF Formula

Least Common Multiple of 924,7295 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 924,7295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,7295) = 1

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

GCF(924,7295) x common factors =1 x 1 = 1

LCM(924,7295) = ( 924 × 7295 ) / 1

LCM(924,7295) = 6740580 / 1

LCM(924,7295) = 6740580


Lets's calculate GCF of 590,688

2 590, 688
295, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6740580/2

Therefore the LCM of Fractions 924/590,7295/688 is 3370290

Greatest Common Factor of 590,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,688 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 590,688 . The biggest common factor number is the GCF number.
So the greatest common factor 590,688 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 924/590, 7295/688

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 924/590, 7295/688?

Answer: LCM of Numerators as per given numbers 924/590, 7295/688 is

LCM of Numerators i.e. for 924,7295 is 6740580

GCF of denominators i.e. for 590,688 is 2.

Thus, LCM of Fractions is 3370290.Finally, LCM of Fractions for 924/590, 7295/688 is 3370290.