Least Common Multiple of 668/89, 368/26, 805/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 668/89, 368/26, 805/941 quickly i.e. 2150960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/89, 368/26, 805/941 is 2150960.

LCM(668/89, 368/26, 805/941) = 2150960

LCM of 668/89, 368/26, 805/941

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 668/89,368/26,805/941

Given numbers are 668/89,368/26,805/941

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 668,368,805

Least Common Multiple of Numerators i.e. LCM of 668,368,805 is 2150960.

GCF of Denominators means GCF of 89,26,941 as per the given fractions.

GCF of 89,26,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,368,805

LCM of Fractions 668/89,368/26,805/941 is 2150960

2 668, 368, 805
2 334, 184, 805
23 167, 92, 805
167, 4, 35

∴ So the LCM of the given numbers is 2 x 2 x 23 x 167 x 4 x 35 = 2150960

Least Common Multiple of 668,368,805 with GCF Formula

Least Common Multiple of 668,368,805 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 668,368,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,368,805) = 1

common factors(in case of two or more numbers have common factors) = 92

GCF(668,368,805) x common factors =1 x 92 = 92

LCM(668,368,805) = ( 668 × 368 × 805 ) / 92

LCM(668,368,805) = 197888320 / 92

LCM(668,368,805) = 2150960


Lets's calculate GCF of 89,26,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2150960/1

Therefore the LCM of Fractions 668/89,368/26,805/941 is 2150960

Greatest Common Factor of 89,26,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,26,941 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 89,26,941 . The biggest common factor number is the GCF number.
So the greatest common factor 89,26,941 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 668/89, 368/26, 805/941

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 668/89, 368/26, 805/941?

Answer: LCM of Numerators as per given numbers 668/89, 368/26, 805/941 is

LCM of Numerators i.e. for 668,368,805 is 2150960

GCF of denominators i.e. for 89,26,941 is 1.

Thus, LCM of Fractions is 2150960.Finally, LCM of Fractions for 668/89, 368/26, 805/941 is 2150960.