Least Common Multiple of 60/429, 95/969, 186/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/429, 95/969, 186/143 quickly i.e. 35340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/429, 95/969, 186/143 is 35340.

LCM(60/429, 95/969, 186/143) = 35340

LCM of 60/429, 95/969, 186/143

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 60/429,95/969,186/143

Given numbers are 60/429,95/969,186/143

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 60,95,186

Least Common Multiple of Numerators i.e. LCM of 60,95,186 is 35340.

GCF of Denominators means GCF of 429,969,143 as per the given fractions.

GCF of 429,969,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,95,186

LCM of Fractions 60/429,95/969,186/143 is 35340

2 60, 95, 186
3 30, 95, 93
5 10, 95, 31
2, 19, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 19 x 31 = 35340

Least Common Multiple of 60,95,186 with GCF Formula

Least Common Multiple of 60,95,186 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 60,95,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,95,186) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(60,95,186) x common factors =1 x 30 = 30

LCM(60,95,186) = ( 60 × 95 × 186 ) / 30

LCM(60,95,186) = 1060200 / 30

LCM(60,95,186) = 35340


Lets's calculate GCF of 429,969,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35340/1

Therefore the LCM of Fractions 60/429,95/969,186/143 is 35340

Greatest Common Factor of 429,969,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,969,143 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 429,969,143 . The biggest common factor number is the GCF number.
So the greatest common factor 429,969,143 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 60/429, 95/969, 186/143

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 60/429, 95/969, 186/143?

Answer: LCM of Numerators as per given numbers 60/429, 95/969, 186/143 is

LCM of Numerators i.e. for 60,95,186 is 35340

GCF of denominators i.e. for 429,969,143 is 1.

Thus, LCM of Fractions is 35340.Finally, LCM of Fractions for 60/429, 95/969, 186/143 is 35340.