Least Common Multiple of 7274/882, 8730/6462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7274/882, 8730/6462 quickly i.e. 1763945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7274/882, 8730/6462 is 1763945.

LCM(7274/882, 8730/6462) = 1763945

LCM of 7274/882, 8730/6462

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 7274/882,8730/6462

Given numbers are 7274/882,8730/6462

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 7274,8730

Least Common Multiple of Numerators i.e. LCM of 7274,8730 is 31751010.

GCF of Denominators means GCF of 882,6462 as per the given fractions.

GCF of 882,6462 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7274,8730

LCM of Fractions 7274/882,8730/6462 is 1763945

2 7274, 8730
3637, 4365

∴ So the LCM of the given numbers is 2 x 3637 x 4365 = 31751010

Least Common Multiple of 7274,8730 with GCF Formula

Least Common Multiple of 7274,8730 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 7274,8730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7274,8730) = 2

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

GCF(7274,8730) x common factors =2 x 1 = 2

LCM(7274,8730) = ( 7274 × 8730 ) / 2

LCM(7274,8730) = 63502020 / 2

LCM(7274,8730) = 31751010


Lets's calculate GCF of 882,6462

2 882, 6462
3 441, 3231
3 147, 1077
49, 359

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31751010/18

Therefore the LCM of Fractions 7274/882,8730/6462 is 1763945

Greatest Common Factor of 882,6462 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,6462 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Greatest Common Factor

We found the factors 882,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 882,6462 is 18.


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 7274/882, 8730/6462

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 7274/882, 8730/6462?

Answer: LCM of Numerators as per given numbers 7274/882, 8730/6462 is

LCM of Numerators i.e. for 7274,8730 is 31751010

GCF of denominators i.e. for 882,6462 is 18.

Thus, LCM of Fractions is 1763945.Finally, LCM of Fractions for 7274/882, 8730/6462 is 1763945.