Least Common Multiple of 873/35, 966/53, 169/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 873/35, 966/53, 169/728 quickly i.e. 47506914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/35, 966/53, 169/728 is 47506914.

LCM(873/35, 966/53, 169/728) = 47506914

LCM of 873/35, 966/53, 169/728

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 873/35,966/53,169/728

Given numbers are 873/35,966/53,169/728

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 873,966,169

Least Common Multiple of Numerators i.e. LCM of 873,966,169 is 47506914.

GCF of Denominators means GCF of 35,53,728 as per the given fractions.

GCF of 35,53,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,966,169

LCM of Fractions 873/35,966/53,169/728 is 47506914

3 873, 966, 169
291, 322, 169

∴ So the LCM of the given numbers is 3 x 291 x 322 x 169 = 47506914

Least Common Multiple of 873,966,169 with GCF Formula

Least Common Multiple of 873,966,169 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 873,966,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,966,169) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(873,966,169) x common factors =1 x 3 = 3

LCM(873,966,169) = ( 873 × 966 × 169 ) / 3

LCM(873,966,169) = 142520742 / 3

LCM(873,966,169) = 47506914


Lets's calculate GCF of 35,53,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47506914/1

Therefore the LCM of Fractions 873/35,966/53,169/728 is 47506914

Greatest Common Factor of 35,53,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,53,728 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 35,53,728 . The biggest common factor number is the GCF number.
So the greatest common factor 35,53,728 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 873/35, 966/53, 169/728

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 873/35, 966/53, 169/728?

Answer: LCM of Numerators as per given numbers 873/35, 966/53, 169/728 is

LCM of Numerators i.e. for 873,966,169 is 47506914

GCF of denominators i.e. for 35,53,728 is 1.

Thus, LCM of Fractions is 47506914.Finally, LCM of Fractions for 873/35, 966/53, 169/728 is 47506914.