Least Common Multiple of 884/40, 780/22, 997/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 884/40, 780/22, 997/954 quickly i.e. 6610110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/40, 780/22, 997/954 is 6610110.

LCM(884/40, 780/22, 997/954) = 6610110

LCM of 884/40, 780/22, 997/954

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 884/40,780/22,997/954

Given numbers are 884/40,780/22,997/954

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 884,780,997

Least Common Multiple of Numerators i.e. LCM of 884,780,997 is 13220220.

GCF of Denominators means GCF of 40,22,954 as per the given fractions.

GCF of 40,22,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,780,997

LCM of Fractions 884/40,780/22,997/954 is 6610110

2 884, 780, 997
2 442, 390, 997
13 221, 195, 997
17, 15, 997

∴ So the LCM of the given numbers is 2 x 2 x 13 x 17 x 15 x 997 = 13220220

Least Common Multiple of 884,780,997 with GCF Formula

Least Common Multiple of 884,780,997 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 884,780,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,780,997) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(884,780,997) x common factors =1 x 52 = 52

LCM(884,780,997) = ( 884 × 780 × 997 ) / 52

LCM(884,780,997) = 687451440 / 52

LCM(884,780,997) = 13220220


Lets's calculate GCF of 40,22,954

2 40, 22, 954
20, 11, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13220220/2

Therefore the LCM of Fractions 884/40,780/22,997/954 is 6610110

Greatest Common Factor of 40,22,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,22,954 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 40,22,954 . The biggest common factor number is the GCF number.
So the greatest common factor 40,22,954 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 884/40, 780/22, 997/954

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 884/40, 780/22, 997/954?

Answer: LCM of Numerators as per given numbers 884/40, 780/22, 997/954 is

LCM of Numerators i.e. for 884,780,997 is 13220220

GCF of denominators i.e. for 40,22,954 is 2.

Thus, LCM of Fractions is 6610110.Finally, LCM of Fractions for 884/40, 780/22, 997/954 is 6610110.