Least Common Multiple of 3674/320, 7376/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3674/320, 7376/980 quickly i.e. 13549712/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3674/320, 7376/980 is 13549712/20.

LCM(3674/320, 7376/980) = 13549712/20

LCM of 3674/320, 7376/980

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 3674/320,7376/980

Given numbers are 3674/320,7376/980

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 3674,7376

Least Common Multiple of Numerators i.e. LCM of 3674,7376 is 13549712.

GCF of Denominators means GCF of 320,980 as per the given fractions.

GCF of 320,980 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3674,7376

LCM of Fractions 3674/320,7376/980 is 13549712/20

2 3674, 7376
1837, 3688

∴ So the LCM of the given numbers is 2 x 1837 x 3688 = 13549712

Least Common Multiple of 3674,7376 with GCF Formula

Least Common Multiple of 3674,7376 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 3674,7376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3674,7376) = 2

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

GCF(3674,7376) x common factors =2 x 1 = 2

LCM(3674,7376) = ( 3674 × 7376 ) / 2

LCM(3674,7376) = 27099424 / 2

LCM(3674,7376) = 13549712


Lets's calculate GCF of 320,980

2 320, 980
2 160, 490
5 80, 245
16, 49

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13549712/20

Therefore the LCM of Fractions 3674/320,7376/980 is 13549712/20

Greatest Common Factor of 320,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,980 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 320,980 . The biggest common factor number is the GCF number.
So the greatest common factor 320,980 is 20.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3674/320, 7376/980

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 3674/320, 7376/980?

Answer: LCM of Numerators as per given numbers 3674/320, 7376/980 is

LCM of Numerators i.e. for 3674,7376 is 13549712

GCF of denominators i.e. for 320,980 is 20.

Thus, LCM of Fractions is 13549712/20.Finally, LCM of Fractions for 3674/320, 7376/980 is 13549712/20.