Least Common Multiple of 427/352, 8468/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/352, 8468/880 quickly i.e. 3615836/176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/352, 8468/880 is 3615836/176.

LCM(427/352, 8468/880) = 3615836/176

LCM of 427/352, 8468/880

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 427/352,8468/880

Given numbers are 427/352,8468/880

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 427,8468

Least Common Multiple of Numerators i.e. LCM of 427,8468 is 3615836.

GCF of Denominators means GCF of 352,880 as per the given fractions.

GCF of 352,880 is 176 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,8468

LCM of Fractions 427/352,8468/880 is 3615836/176

Given numbers has no common factors except 1. So, there LCM is their product i.e 3615836

Least Common Multiple of 427,8468 with GCF Formula

Least Common Multiple of 427,8468 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 427,8468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,8468) = 1

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

GCF(427,8468) x common factors =1 x 1 = 1

LCM(427,8468) = ( 427 × 8468 ) / 1

LCM(427,8468) = 3615836 / 1

LCM(427,8468) = 3615836


Lets's calculate GCF of 352,880

2 352, 880
2 176, 440
2 88, 220
2 44, 110
11 22, 55
2, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3615836/176

Therefore the LCM of Fractions 427/352,8468/880 is 3615836/176

Greatest Common Factor of 352,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,880 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 352,880 . The biggest common factor number is the GCF number.
So the greatest common factor 352,880 is 176.


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 427/352, 8468/880

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 427/352, 8468/880?

Answer: LCM of Numerators as per given numbers 427/352, 8468/880 is

LCM of Numerators i.e. for 427,8468 is 3615836

GCF of denominators i.e. for 352,880 is 176.

Thus, LCM of Fractions is 3615836/176.Finally, LCM of Fractions for 427/352, 8468/880 is 3615836/176.