Least Common Multiple of 9792/867, 3220/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9792/867, 3220/8740 quickly i.e. 7882560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9792/867, 3220/8740 is 7882560.

LCM(9792/867, 3220/8740) = 7882560

LCM of 9792/867, 3220/8740

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 9792/867,3220/8740

Given numbers are 9792/867,3220/8740

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 9792,3220

Least Common Multiple of Numerators i.e. LCM of 9792,3220 is 7882560.

GCF of Denominators means GCF of 867,8740 as per the given fractions.

GCF of 867,8740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9792,3220

LCM of Fractions 9792/867,3220/8740 is 7882560

2 9792, 3220
2 4896, 1610
2448, 805

∴ So the LCM of the given numbers is 2 x 2 x 2448 x 805 = 7882560

Least Common Multiple of 9792,3220 with GCF Formula

Least Common Multiple of 9792,3220 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 9792,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9792,3220) = 4

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

GCF(9792,3220) x common factors =4 x 1 = 4

LCM(9792,3220) = ( 9792 × 3220 ) / 4

LCM(9792,3220) = 31530240 / 4

LCM(9792,3220) = 7882560


Lets's calculate GCF of 867,8740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7882560/1

Therefore the LCM of Fractions 9792/867,3220/8740 is 7882560

Greatest Common Factor of 867,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,8740 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 867,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 867,8740 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 9792/867, 3220/8740

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 9792/867, 3220/8740?

Answer: LCM of Numerators as per given numbers 9792/867, 3220/8740 is

LCM of Numerators i.e. for 9792,3220 is 7882560

GCF of denominators i.e. for 867,8740 is 1.

Thus, LCM of Fractions is 7882560.Finally, LCM of Fractions for 9792/867, 3220/8740 is 7882560.