Least Common Multiple of 660/98, 680/1592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 660/98, 680/1592 quickly i.e. 11220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/98, 680/1592 is 11220.

LCM(660/98, 680/1592) = 11220

LCM of 660/98, 680/1592

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 660/98,680/1592

Given numbers are 660/98,680/1592

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 660,680

Least Common Multiple of Numerators i.e. LCM of 660,680 is 22440.

GCF of Denominators means GCF of 98,1592 as per the given fractions.

GCF of 98,1592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,680

LCM of Fractions 660/98,680/1592 is 11220

2 660, 680
2 330, 340
5 165, 170
33, 34

∴ So the LCM of the given numbers is 2 x 2 x 5 x 33 x 34 = 22440

Least Common Multiple of 660,680 with GCF Formula

Least Common Multiple of 660,680 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 660,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,680) = 20

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

GCF(660,680) x common factors =20 x 1 = 20

LCM(660,680) = ( 660 × 680 ) / 20

LCM(660,680) = 448800 / 20

LCM(660,680) = 22440


Lets's calculate GCF of 98,1592

2 98, 1592
49, 796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22440/2

Therefore the LCM of Fractions 660/98,680/1592 is 11220

Greatest Common Factor of 98,1592 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1592 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1,2,4,8,199,398,796,1592

Greatest Common Factor

We found the factors 98,1592 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1592 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 660/98, 680/1592

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 660/98, 680/1592?

Answer: LCM of Numerators as per given numbers 660/98, 680/1592 is

LCM of Numerators i.e. for 660,680 is 22440

GCF of denominators i.e. for 98,1592 is 2.

Thus, LCM of Fractions is 11220.Finally, LCM of Fractions for 660/98, 680/1592 is 11220.