Least Common Multiple of 888/18, 685/25, 700/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/18, 685/25, 700/981 quickly i.e. 21289800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/18, 685/25, 700/981 is 21289800.

LCM(888/18, 685/25, 700/981) = 21289800

LCM of 888/18, 685/25, 700/981

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 888/18,685/25,700/981

Given numbers are 888/18,685/25,700/981

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 888,685,700

Least Common Multiple of Numerators i.e. LCM of 888,685,700 is 21289800.

GCF of Denominators means GCF of 18,25,981 as per the given fractions.

GCF of 18,25,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,685,700

LCM of Fractions 888/18,685/25,700/981 is 21289800

2 888, 685, 700
2 444, 685, 350
5 222, 685, 175
222, 137, 35

∴ So the LCM of the given numbers is 2 x 2 x 5 x 222 x 137 x 35 = 21289800

Least Common Multiple of 888,685,700 with GCF Formula

Least Common Multiple of 888,685,700 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 888,685,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,685,700) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(888,685,700) x common factors =1 x 20 = 20

LCM(888,685,700) = ( 888 × 685 × 700 ) / 20

LCM(888,685,700) = 425796000 / 20

LCM(888,685,700) = 21289800


Lets's calculate GCF of 18,25,981

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21289800/1

Therefore the LCM of Fractions 888/18,685/25,700/981 is 21289800

Greatest Common Factor of 18,25,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,25,981 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 18,25,981 . The biggest common factor number is the GCF number.
So the greatest common factor 18,25,981 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 888/18, 685/25, 700/981

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 888/18, 685/25, 700/981?

Answer: LCM of Numerators as per given numbers 888/18, 685/25, 700/981 is

LCM of Numerators i.e. for 888,685,700 is 21289800

GCF of denominators i.e. for 18,25,981 is 1.

Thus, LCM of Fractions is 21289800.Finally, LCM of Fractions for 888/18, 685/25, 700/981 is 21289800.