Least Common Multiple of 945/983, 177/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 945/983, 177/880 quickly i.e. 55755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/983, 177/880 is 55755.

LCM(945/983, 177/880) = 55755

LCM of 945/983, 177/880

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 945/983,177/880

Given numbers are 945/983,177/880

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 945,177

Least Common Multiple of Numerators i.e. LCM of 945,177 is 55755.

GCF of Denominators means GCF of 983,880 as per the given fractions.

GCF of 983,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,177

LCM of Fractions 945/983,177/880 is 55755

3 945, 177
315, 59

∴ So the LCM of the given numbers is 3 x 315 x 59 = 55755

Least Common Multiple of 945,177 with GCF Formula

Least Common Multiple of 945,177 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 945,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,177) = 3

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

GCF(945,177) x common factors =3 x 1 = 3

LCM(945,177) = ( 945 × 177 ) / 3

LCM(945,177) = 167265 / 3

LCM(945,177) = 55755


Lets's calculate GCF of 983,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55755/1

Therefore the LCM of Fractions 945/983,177/880 is 55755

Greatest Common Factor of 983,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,880 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 983,880 . The biggest common factor number is the GCF number.
So the greatest common factor 983,880 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 945/983, 177/880

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 945/983, 177/880?

Answer: LCM of Numerators as per given numbers 945/983, 177/880 is

LCM of Numerators i.e. for 945,177 is 55755

GCF of denominators i.e. for 983,880 is 1.

Thus, LCM of Fractions is 55755.Finally, LCM of Fractions for 945/983, 177/880 is 55755.