Least Common Multiple of 880/10, 240/42, 438/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 880/10, 240/42, 438/862 quickly i.e. 96360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 880/10, 240/42, 438/862 is 96360.

LCM(880/10, 240/42, 438/862) = 96360

LCM of 880/10, 240/42, 438/862

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 880/10,240/42,438/862

Given numbers are 880/10,240/42,438/862

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 880,240,438

Least Common Multiple of Numerators i.e. LCM of 880,240,438 is 192720.

GCF of Denominators means GCF of 10,42,862 as per the given fractions.

GCF of 10,42,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 880,240,438

LCM of Fractions 880/10,240/42,438/862 is 96360

2 880, 240, 438
2 440, 120, 219
2 220, 60, 219
2 110, 30, 219
3 55, 15, 219
5 55, 5, 73
11, 1, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 73 = 192720

Least Common Multiple of 880,240,438 with GCF Formula

Least Common Multiple of 880,240,438 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 880,240,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,240,438) = 2

common factors(in case of two or more numbers have common factors) = 240

GCF(880,240,438) x common factors =2 x 240 = 480

LCM(880,240,438) = ( 880 × 240 × 438 ) / 480

LCM(880,240,438) = 92505600 / 480

LCM(880,240,438) = 192720


Lets's calculate GCF of 10,42,862

2 10, 42, 862
5, 21, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192720/2

Therefore the LCM of Fractions 880/10,240/42,438/862 is 96360

Greatest Common Factor of 10,42,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,42,862 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 10,42,862 . The biggest common factor number is the GCF number.
So the greatest common factor 10,42,862 is 2.


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 880/10, 240/42, 438/862

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 880/10, 240/42, 438/862?

Answer: LCM of Numerators as per given numbers 880/10, 240/42, 438/862 is

LCM of Numerators i.e. for 880,240,438 is 192720

GCF of denominators i.e. for 10,42,862 is 2.

Thus, LCM of Fractions is 96360.Finally, LCM of Fractions for 880/10, 240/42, 438/862 is 96360.