Least Common Multiple of 529/970, 186/653, 142/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/970, 186/653, 142/440 quickly i.e. 6985974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/970, 186/653, 142/440 is 6985974.

LCM(529/970, 186/653, 142/440) = 6985974

LCM of 529/970, 186/653, 142/440

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 529/970,186/653,142/440

Given numbers are 529/970,186/653,142/440

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 529,186,142

Least Common Multiple of Numerators i.e. LCM of 529,186,142 is 6985974.

GCF of Denominators means GCF of 970,653,440 as per the given fractions.

GCF of 970,653,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,186,142

LCM of Fractions 529/970,186/653,142/440 is 6985974

2 529, 186, 142
529, 93, 71

∴ So the LCM of the given numbers is 2 x 529 x 93 x 71 = 6985974

Least Common Multiple of 529,186,142 with GCF Formula

Least Common Multiple of 529,186,142 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 529,186,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,186,142) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(529,186,142) x common factors =1 x 2 = 2

LCM(529,186,142) = ( 529 × 186 × 142 ) / 2

LCM(529,186,142) = 13971948 / 2

LCM(529,186,142) = 6985974


Lets's calculate GCF of 970,653,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6985974/1

Therefore the LCM of Fractions 529/970,186/653,142/440 is 6985974

Greatest Common Factor of 970,653,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,653,440 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 970,653,440 . The biggest common factor number is the GCF number.
So the greatest common factor 970,653,440 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 529/970, 186/653, 142/440

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 529/970, 186/653, 142/440?

Answer: LCM of Numerators as per given numbers 529/970, 186/653, 142/440 is

LCM of Numerators i.e. for 529,186,142 is 6985974

GCF of denominators i.e. for 970,653,440 is 1.

Thus, LCM of Fractions is 6985974.Finally, LCM of Fractions for 529/970, 186/653, 142/440 is 6985974.