Least Common Multiple of 1300/457, 9269/8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1300/457, 9269/8480 quickly i.e. 926900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1300/457, 9269/8480 is 926900.

LCM(1300/457, 9269/8480) = 926900

LCM of 1300/457, 9269/8480

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 1300/457,9269/8480

Given numbers are 1300/457,9269/8480

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 1300,9269

Least Common Multiple of Numerators i.e. LCM of 1300,9269 is 926900.

GCF of Denominators means GCF of 457,8480 as per the given fractions.

GCF of 457,8480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1300,9269

LCM of Fractions 1300/457,9269/8480 is 926900

13 1300, 9269
100, 713

∴ So the LCM of the given numbers is 13 x 100 x 713 = 926900

Least Common Multiple of 1300,9269 with GCF Formula

Least Common Multiple of 1300,9269 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 1300,9269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1300,9269) = 13

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

GCF(1300,9269) x common factors =13 x 1 = 13

LCM(1300,9269) = ( 1300 × 9269 ) / 13

LCM(1300,9269) = 12049700 / 13

LCM(1300,9269) = 926900


Lets's calculate GCF of 457,8480

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 926900/1

Therefore the LCM of Fractions 1300/457,9269/8480 is 926900

Greatest Common Factor of 457,8480 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,8480 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Greatest Common Factor

We found the factors 457,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 457,8480 is 1.


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 1300/457, 9269/8480

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 1300/457, 9269/8480?

Answer: LCM of Numerators as per given numbers 1300/457, 9269/8480 is

LCM of Numerators i.e. for 1300,9269 is 926900

GCF of denominators i.e. for 457,8480 is 1.

Thus, LCM of Fractions is 926900.Finally, LCM of Fractions for 1300/457, 9269/8480 is 926900.