Least Common Multiple of 52/133, 67/985, 169/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/133, 67/985, 169/986 quickly i.e. 45292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/133, 67/985, 169/986 is 45292.

LCM(52/133, 67/985, 169/986) = 45292

LCM of 52/133, 67/985, 169/986

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 52/133,67/985,169/986

Given numbers are 52/133,67/985,169/986

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 52,67,169

Least Common Multiple of Numerators i.e. LCM of 52,67,169 is 45292.

GCF of Denominators means GCF of 133,985,986 as per the given fractions.

GCF of 133,985,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,67,169

LCM of Fractions 52/133,67/985,169/986 is 45292

13 52, 67, 169
4, 67, 13

∴ So the LCM of the given numbers is 13 x 4 x 67 x 13 = 45292

Least Common Multiple of 52,67,169 with GCF Formula

Least Common Multiple of 52,67,169 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 52,67,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,67,169) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(52,67,169) x common factors =1 x 13 = 13

LCM(52,67,169) = ( 52 × 67 × 169 ) / 13

LCM(52,67,169) = 588796 / 13

LCM(52,67,169) = 45292


Lets's calculate GCF of 133,985,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45292/1

Therefore the LCM of Fractions 52/133,67/985,169/986 is 45292

Greatest Common Factor of 133,985,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,985,986 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 133,985,986 . The biggest common factor number is the GCF number.
So the greatest common factor 133,985,986 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 52/133, 67/985, 169/986

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 52/133, 67/985, 169/986?

Answer: LCM of Numerators as per given numbers 52/133, 67/985, 169/986 is

LCM of Numerators i.e. for 52,67,169 is 45292

GCF of denominators i.e. for 133,985,986 is 1.

Thus, LCM of Fractions is 45292.Finally, LCM of Fractions for 52/133, 67/985, 169/986 is 45292.