Least Common Multiple of 692/260, 9090/2800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/260, 9090/2800 quickly i.e. 157257 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/260, 9090/2800 is 157257.

LCM(692/260, 9090/2800) = 157257

LCM of 692/260, 9090/2800

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 692/260,9090/2800

Given numbers are 692/260,9090/2800

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 692,9090

Least Common Multiple of Numerators i.e. LCM of 692,9090 is 3145140.

GCF of Denominators means GCF of 260,2800 as per the given fractions.

GCF of 260,2800 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,9090

LCM of Fractions 692/260,9090/2800 is 157257

2 692, 9090
346, 4545

∴ So the LCM of the given numbers is 2 x 346 x 4545 = 3145140

Least Common Multiple of 692,9090 with GCF Formula

Least Common Multiple of 692,9090 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 692,9090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,9090) = 2

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

GCF(692,9090) x common factors =2 x 1 = 2

LCM(692,9090) = ( 692 × 9090 ) / 2

LCM(692,9090) = 6290280 / 2

LCM(692,9090) = 3145140


Lets's calculate GCF of 260,2800

2 260, 2800
2 130, 1400
5 65, 700
13, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3145140/20

Therefore the LCM of Fractions 692/260,9090/2800 is 157257

Greatest Common Factor of 260,2800 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,2800 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800

Greatest Common Factor

We found the factors 260,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 260,2800 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 692/260, 9090/2800

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 692/260, 9090/2800?

Answer: LCM of Numerators as per given numbers 692/260, 9090/2800 is

LCM of Numerators i.e. for 692,9090 is 3145140

GCF of denominators i.e. for 260,2800 is 20.

Thus, LCM of Fractions is 157257.Finally, LCM of Fractions for 692/260, 9090/2800 is 157257.