Least Common Multiple of 426/530, 9465/6254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/530, 9465/6254 quickly i.e. 1344030/106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/530, 9465/6254 is 1344030/106.

LCM(426/530, 9465/6254) = 1344030/106

LCM of 426/530, 9465/6254

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 426/530,9465/6254

Given numbers are 426/530,9465/6254

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 426,9465

Least Common Multiple of Numerators i.e. LCM of 426,9465 is 1344030.

GCF of Denominators means GCF of 530,6254 as per the given fractions.

GCF of 530,6254 is 106 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,9465

LCM of Fractions 426/530,9465/6254 is 1344030/106

3 426, 9465
142, 3155

∴ So the LCM of the given numbers is 3 x 142 x 3155 = 1344030

Least Common Multiple of 426,9465 with GCF Formula

Least Common Multiple of 426,9465 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 426,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,9465) = 3

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

GCF(426,9465) x common factors =3 x 1 = 3

LCM(426,9465) = ( 426 × 9465 ) / 3

LCM(426,9465) = 4032090 / 3

LCM(426,9465) = 1344030


Lets's calculate GCF of 530,6254

2 530, 6254
53 265, 3127
5, 59

∴ So the GCF of the given numbers is 2 x 53 = 106

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344030/106

Therefore the LCM of Fractions 426/530,9465/6254 is 1344030/106

Greatest Common Factor of 530,6254 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,6254 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1,2,53,59,106,118,3127,6254

Greatest Common Factor

We found the factors 530,6254 . The biggest common factor number is the GCF number.
So the greatest common factor 530,6254 is 106.


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 426/530, 9465/6254

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 426/530, 9465/6254?

Answer: LCM of Numerators as per given numbers 426/530, 9465/6254 is

LCM of Numerators i.e. for 426,9465 is 1344030

GCF of denominators i.e. for 530,6254 is 106.

Thus, LCM of Fractions is 1344030/106.Finally, LCM of Fractions for 426/530, 9465/6254 is 1344030/106.