Least Common Multiple of 889/188, 622/469, 832/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 889/188, 622/469, 832/970 quickly i.e. 230030528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 889/188, 622/469, 832/970 is 230030528.

LCM(889/188, 622/469, 832/970) = 230030528

LCM of 889/188, 622/469, 832/970

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 889/188,622/469,832/970

Given numbers are 889/188,622/469,832/970

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 889,622,832

Least Common Multiple of Numerators i.e. LCM of 889,622,832 is 230030528.

GCF of Denominators means GCF of 188,469,970 as per the given fractions.

GCF of 188,469,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 889,622,832

LCM of Fractions 889/188,622/469,832/970 is 230030528

2 889, 622, 832
889, 311, 416

∴ So the LCM of the given numbers is 2 x 889 x 311 x 416 = 230030528

Least Common Multiple of 889,622,832 with GCF Formula

Least Common Multiple of 889,622,832 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 889,622,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,622,832) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(889,622,832) x common factors =1 x 2 = 2

LCM(889,622,832) = ( 889 × 622 × 832 ) / 2

LCM(889,622,832) = 460061056 / 2

LCM(889,622,832) = 230030528


Lets's calculate GCF of 188,469,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230030528/1

Therefore the LCM of Fractions 889/188,622/469,832/970 is 230030528

Greatest Common Factor of 188,469,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,469,970 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 188,469,970 . The biggest common factor number is the GCF number.
So the greatest common factor 188,469,970 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 889/188, 622/469, 832/970

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 889/188, 622/469, 832/970?

Answer: LCM of Numerators as per given numbers 889/188, 622/469, 832/970 is

LCM of Numerators i.e. for 889,622,832 is 230030528

GCF of denominators i.e. for 188,469,970 is 1.

Thus, LCM of Fractions is 230030528.Finally, LCM of Fractions for 889/188, 622/469, 832/970 is 230030528.