Least Common Multiple of 975/194, 689/984, 829/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/194, 689/984, 829/525 quickly i.e. 42838575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/194, 689/984, 829/525 is 42838575.

LCM(975/194, 689/984, 829/525) = 42838575

LCM of 975/194, 689/984, 829/525

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 975/194,689/984,829/525

Given numbers are 975/194,689/984,829/525

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 975,689,829

Least Common Multiple of Numerators i.e. LCM of 975,689,829 is 42838575.

GCF of Denominators means GCF of 194,984,525 as per the given fractions.

GCF of 194,984,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,689,829

LCM of Fractions 975/194,689/984,829/525 is 42838575

13 975, 689, 829
75, 53, 829

∴ So the LCM of the given numbers is 13 x 75 x 53 x 829 = 42838575

Least Common Multiple of 975,689,829 with GCF Formula

Least Common Multiple of 975,689,829 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 975,689,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,689,829) = 1

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

GCF(975,689,829) x common factors =1 x 13 = 13

LCM(975,689,829) = ( 975 × 689 × 829 ) / 13

LCM(975,689,829) = 556901475 / 13

LCM(975,689,829) = 42838575


Lets's calculate GCF of 194,984,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42838575/1

Therefore the LCM of Fractions 975/194,689/984,829/525 is 42838575

Greatest Common Factor of 194,984,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,984,525 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 194,984,525 . The biggest common factor number is the GCF number.
So the greatest common factor 194,984,525 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 975/194, 689/984, 829/525

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 975/194, 689/984, 829/525?

Answer: LCM of Numerators as per given numbers 975/194, 689/984, 829/525 is

LCM of Numerators i.e. for 975,689,829 is 42838575

GCF of denominators i.e. for 194,984,525 is 1.

Thus, LCM of Fractions is 42838575.Finally, LCM of Fractions for 975/194, 689/984, 829/525 is 42838575.