Least Common Multiple of 34/454, 1510/6530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/454, 1510/6530 quickly i.e. 12835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/454, 1510/6530 is 12835.

LCM(34/454, 1510/6530) = 12835

LCM of 34/454, 1510/6530

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 34/454,1510/6530

Given numbers are 34/454,1510/6530

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 34,1510

Least Common Multiple of Numerators i.e. LCM of 34,1510 is 25670.

GCF of Denominators means GCF of 454,6530 as per the given fractions.

GCF of 454,6530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,1510

LCM of Fractions 34/454,1510/6530 is 12835

2 34, 1510
17, 755

∴ So the LCM of the given numbers is 2 x 17 x 755 = 25670

Least Common Multiple of 34,1510 with GCF Formula

Least Common Multiple of 34,1510 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 34,1510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,1510) = 2

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

GCF(34,1510) x common factors =2 x 1 = 2

LCM(34,1510) = ( 34 × 1510 ) / 2

LCM(34,1510) = 51340 / 2

LCM(34,1510) = 25670


Lets's calculate GCF of 454,6530

2 454, 6530
227, 3265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25670/2

Therefore the LCM of Fractions 34/454,1510/6530 is 12835

Greatest Common Factor of 454,6530 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,6530 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Greatest Common Factor

We found the factors 454,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 454,6530 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 34/454, 1510/6530

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 34/454, 1510/6530?

Answer: LCM of Numerators as per given numbers 34/454, 1510/6530 is

LCM of Numerators i.e. for 34,1510 is 25670

GCF of denominators i.e. for 454,6530 is 2.

Thus, LCM of Fractions is 12835.Finally, LCM of Fractions for 34/454, 1510/6530 is 12835.