Least Common Multiple of 2135/38, 7282/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2135/38, 7282/980 quickly i.e. 7773535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2135/38, 7282/980 is 7773535.

LCM(2135/38, 7282/980) = 7773535

LCM of 2135/38, 7282/980

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 2135/38,7282/980

Given numbers are 2135/38,7282/980

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 2135,7282

Least Common Multiple of Numerators i.e. LCM of 2135,7282 is 15547070.

GCF of Denominators means GCF of 38,980 as per the given fractions.

GCF of 38,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2135,7282

LCM of Fractions 2135/38,7282/980 is 7773535

Given numbers has no common factors except 1. So, there LCM is their product i.e 15547070

Least Common Multiple of 2135,7282 with GCF Formula

Least Common Multiple of 2135,7282 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 2135,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2135,7282) = 1

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

GCF(2135,7282) x common factors =1 x 1 = 1

LCM(2135,7282) = ( 2135 × 7282 ) / 1

LCM(2135,7282) = 15547070 / 1

LCM(2135,7282) = 15547070


Lets's calculate GCF of 38,980

2 38, 980
19, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15547070/2

Therefore the LCM of Fractions 2135/38,7282/980 is 7773535

Greatest Common Factor of 38,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,980 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 38,980 . The biggest common factor number is the GCF number.
So the greatest common factor 38,980 is 2.


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 2135/38, 7282/980

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 2135/38, 7282/980?

Answer: LCM of Numerators as per given numbers 2135/38, 7282/980 is

LCM of Numerators i.e. for 2135,7282 is 15547070

GCF of denominators i.e. for 38,980 is 2.

Thus, LCM of Fractions is 7773535.Finally, LCM of Fractions for 2135/38, 7282/980 is 7773535.