Least Common Multiple of 84/88, 332/56, 221/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/88, 332/56, 221/162 quickly i.e. 770406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/88, 332/56, 221/162 is 770406.

LCM(84/88, 332/56, 221/162) = 770406

LCM of 84/88, 332/56, 221/162

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 84/88,332/56,221/162

Given numbers are 84/88,332/56,221/162

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 84,332,221

Least Common Multiple of Numerators i.e. LCM of 84,332,221 is 1540812.

GCF of Denominators means GCF of 88,56,162 as per the given fractions.

GCF of 88,56,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,332,221

LCM of Fractions 84/88,332/56,221/162 is 770406

2 84, 332, 221
2 42, 166, 221
21, 83, 221

∴ So the LCM of the given numbers is 2 x 2 x 21 x 83 x 221 = 1540812

Least Common Multiple of 84,332,221 with GCF Formula

Least Common Multiple of 84,332,221 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 84,332,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,332,221) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,332,221) x common factors =1 x 4 = 4

LCM(84,332,221) = ( 84 × 332 × 221 ) / 4

LCM(84,332,221) = 6163248 / 4

LCM(84,332,221) = 1540812


Lets's calculate GCF of 88,56,162

2 88, 56, 162
44, 28, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540812/2

Therefore the LCM of Fractions 84/88,332/56,221/162 is 770406

Greatest Common Factor of 88,56,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,56,162 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 88,56,162 . The biggest common factor number is the GCF number.
So the greatest common factor 88,56,162 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 84/88, 332/56, 221/162

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 84/88, 332/56, 221/162?

Answer: LCM of Numerators as per given numbers 84/88, 332/56, 221/162 is

LCM of Numerators i.e. for 84,332,221 is 1540812

GCF of denominators i.e. for 88,56,162 is 2.

Thus, LCM of Fractions is 770406.Finally, LCM of Fractions for 84/88, 332/56, 221/162 is 770406.