Least Common Multiple of 894/66, 142/85, 807/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 894/66, 142/85, 807/54 quickly i.e. 17074506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/66, 142/85, 807/54 is 17074506.

LCM(894/66, 142/85, 807/54) = 17074506

LCM of 894/66, 142/85, 807/54

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 894/66,142/85,807/54

Given numbers are 894/66,142/85,807/54

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 894,142,807

Least Common Multiple of Numerators i.e. LCM of 894,142,807 is 17074506.

GCF of Denominators means GCF of 66,85,54 as per the given fractions.

GCF of 66,85,54 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,142,807

LCM of Fractions 894/66,142/85,807/54 is 17074506

2 894, 142, 807
3 447, 71, 807
149, 71, 269

∴ So the LCM of the given numbers is 2 x 3 x 149 x 71 x 269 = 17074506

Least Common Multiple of 894,142,807 with GCF Formula

Least Common Multiple of 894,142,807 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 894,142,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,142,807) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(894,142,807) x common factors =1 x 6 = 6

LCM(894,142,807) = ( 894 × 142 × 807 ) / 6

LCM(894,142,807) = 102447036 / 6

LCM(894,142,807) = 17074506


Lets's calculate GCF of 66,85,54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17074506/1

Therefore the LCM of Fractions 894/66,142/85,807/54 is 17074506

Greatest Common Factor of 66,85,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,85,54 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 66,85,54 . The biggest common factor number is the GCF number.
So the greatest common factor 66,85,54 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 894/66, 142/85, 807/54

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 894/66, 142/85, 807/54?

Answer: LCM of Numerators as per given numbers 894/66, 142/85, 807/54 is

LCM of Numerators i.e. for 894,142,807 is 17074506

GCF of denominators i.e. for 66,85,54 is 1.

Thus, LCM of Fractions is 17074506.Finally, LCM of Fractions for 894/66, 142/85, 807/54 is 17074506.