Least Common Multiple of 3976/660, 9910/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3976/660, 9910/730 quickly i.e. 1970108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3976/660, 9910/730 is 1970108.

LCM(3976/660, 9910/730) = 1970108

LCM of 3976/660, 9910/730

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 3976/660,9910/730

Given numbers are 3976/660,9910/730

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 3976,9910

Least Common Multiple of Numerators i.e. LCM of 3976,9910 is 19701080.

GCF of Denominators means GCF of 660,730 as per the given fractions.

GCF of 660,730 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3976,9910

LCM of Fractions 3976/660,9910/730 is 1970108

2 3976, 9910
1988, 4955

∴ So the LCM of the given numbers is 2 x 1988 x 4955 = 19701080

Least Common Multiple of 3976,9910 with GCF Formula

Least Common Multiple of 3976,9910 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 3976,9910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3976,9910) = 2

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

GCF(3976,9910) x common factors =2 x 1 = 2

LCM(3976,9910) = ( 3976 × 9910 ) / 2

LCM(3976,9910) = 39402160 / 2

LCM(3976,9910) = 19701080


Lets's calculate GCF of 660,730

2 660, 730
5 330, 365
66, 73

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19701080/10

Therefore the LCM of Fractions 3976/660,9910/730 is 1970108

Greatest Common Factor of 660,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,730 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 660,730 . The biggest common factor number is the GCF number.
So the greatest common factor 660,730 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3976/660, 9910/730

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 3976/660, 9910/730?

Answer: LCM of Numerators as per given numbers 3976/660, 9910/730 is

LCM of Numerators i.e. for 3976,9910 is 19701080

GCF of denominators i.e. for 660,730 is 10.

Thus, LCM of Fractions is 1970108.Finally, LCM of Fractions for 3976/660, 9910/730 is 1970108.