Least Common Multiple of 882/195, 8442/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 882/195, 8442/954 quickly i.e. 19698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/195, 8442/954 is 19698.

LCM(882/195, 8442/954) = 19698

LCM of 882/195, 8442/954

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 882/195,8442/954

Given numbers are 882/195,8442/954

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 882,8442

Least Common Multiple of Numerators i.e. LCM of 882,8442 is 59094.

GCF of Denominators means GCF of 195,954 as per the given fractions.

GCF of 195,954 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,8442

LCM of Fractions 882/195,8442/954 is 19698

2 882, 8442
3 441, 4221
3 147, 1407
7 49, 469
7, 67

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 7 x 67 = 59094

Least Common Multiple of 882,8442 with GCF Formula

Least Common Multiple of 882,8442 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 882,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,8442) = 126

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

GCF(882,8442) x common factors =126 x 1 = 126

LCM(882,8442) = ( 882 × 8442 ) / 126

LCM(882,8442) = 7445844 / 126

LCM(882,8442) = 59094


Lets's calculate GCF of 195,954

3 195, 954
65, 318

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59094/3

Therefore the LCM of Fractions 882/195,8442/954 is 19698

Greatest Common Factor of 195,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,954 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 195,954 . The biggest common factor number is the GCF number.
So the greatest common factor 195,954 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 882/195, 8442/954

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 882/195, 8442/954?

Answer: LCM of Numerators as per given numbers 882/195, 8442/954 is

LCM of Numerators i.e. for 882,8442 is 59094

GCF of denominators i.e. for 195,954 is 3.

Thus, LCM of Fractions is 19698.Finally, LCM of Fractions for 882/195, 8442/954 is 19698.