Least Common Multiple of 870/484, 7424/1284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/484, 7424/1284 quickly i.e. 27840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/484, 7424/1284 is 27840.

LCM(870/484, 7424/1284) = 27840

LCM of 870/484, 7424/1284

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 870/484,7424/1284

Given numbers are 870/484,7424/1284

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 870,7424

Least Common Multiple of Numerators i.e. LCM of 870,7424 is 111360.

GCF of Denominators means GCF of 484,1284 as per the given fractions.

GCF of 484,1284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,7424

LCM of Fractions 870/484,7424/1284 is 27840

2 870, 7424
29 435, 3712
15, 128

∴ So the LCM of the given numbers is 2 x 29 x 15 x 128 = 111360

Least Common Multiple of 870,7424 with GCF Formula

Least Common Multiple of 870,7424 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 870,7424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,7424) = 58

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

GCF(870,7424) x common factors =58 x 1 = 58

LCM(870,7424) = ( 870 × 7424 ) / 58

LCM(870,7424) = 6458880 / 58

LCM(870,7424) = 111360


Lets's calculate GCF of 484,1284

2 484, 1284
2 242, 642
121, 321

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111360/4

Therefore the LCM of Fractions 870/484,7424/1284 is 27840

Greatest Common Factor of 484,1284 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,1284 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1,2,3,4,6,12,107,214,321,428,642,1284

Greatest Common Factor

We found the factors 484,1284 . The biggest common factor number is the GCF number.
So the greatest common factor 484,1284 is 4.


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 870/484, 7424/1284

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 870/484, 7424/1284?

Answer: LCM of Numerators as per given numbers 870/484, 7424/1284 is

LCM of Numerators i.e. for 870,7424 is 111360

GCF of denominators i.e. for 484,1284 is 4.

Thus, LCM of Fractions is 27840.Finally, LCM of Fractions for 870/484, 7424/1284 is 27840.