Least Common Multiple of 888/32, 920/96, 221/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/32, 920/96, 221/958 quickly i.e. 11284260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/32, 920/96, 221/958 is 11284260.

LCM(888/32, 920/96, 221/958) = 11284260

LCM of 888/32, 920/96, 221/958

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 888/32,920/96,221/958

Given numbers are 888/32,920/96,221/958

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 888,920,221

Least Common Multiple of Numerators i.e. LCM of 888,920,221 is 22568520.

GCF of Denominators means GCF of 32,96,958 as per the given fractions.

GCF of 32,96,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,920,221

LCM of Fractions 888/32,920/96,221/958 is 11284260

2 888, 920, 221
2 444, 460, 221
2 222, 230, 221
111, 115, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 111 x 115 x 221 = 22568520

Least Common Multiple of 888,920,221 with GCF Formula

Least Common Multiple of 888,920,221 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 888,920,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,920,221) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(888,920,221) x common factors =1 x 8 = 8

LCM(888,920,221) = ( 888 × 920 × 221 ) / 8

LCM(888,920,221) = 180548160 / 8

LCM(888,920,221) = 22568520


Lets's calculate GCF of 32,96,958

2 32, 96, 958
16, 48, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22568520/2

Therefore the LCM of Fractions 888/32,920/96,221/958 is 11284260

Greatest Common Factor of 32,96,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,96,958 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 32,96,958 . The biggest common factor number is the GCF number.
So the greatest common factor 32,96,958 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 888/32, 920/96, 221/958

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 888/32, 920/96, 221/958?

Answer: LCM of Numerators as per given numbers 888/32, 920/96, 221/958 is

LCM of Numerators i.e. for 888,920,221 is 22568520

GCF of denominators i.e. for 32,96,958 is 2.

Thus, LCM of Fractions is 11284260.Finally, LCM of Fractions for 888/32, 920/96, 221/958 is 11284260.