Least Common Multiple of 625/535, 714/829, 589/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/535, 714/829, 589/400 quickly i.e. 262841250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/535, 714/829, 589/400 is 262841250.

LCM(625/535, 714/829, 589/400) = 262841250

LCM of 625/535, 714/829, 589/400

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 625/535,714/829,589/400

Given numbers are 625/535,714/829,589/400

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 625,714,589

Least Common Multiple of Numerators i.e. LCM of 625,714,589 is 262841250.

GCF of Denominators means GCF of 535,829,400 as per the given fractions.

GCF of 535,829,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,714,589

LCM of Fractions 625/535,714/829,589/400 is 262841250

Given numbers has no common factors except 1. So, there LCM is their product i.e 262841250

Least Common Multiple of 625,714,589 with GCF Formula

Least Common Multiple of 625,714,589 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 625,714,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,714,589) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(625,714,589) x common factors =1 x 1 = 1

LCM(625,714,589) = ( 625 × 714 × 589 ) / 1

LCM(625,714,589) = 262841250 / 1

LCM(625,714,589) = 262841250


Lets's calculate GCF of 535,829,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262841250/1

Therefore the LCM of Fractions 625/535,714/829,589/400 is 262841250

Greatest Common Factor of 535,829,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,829,400 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 535,829,400 . The biggest common factor number is the GCF number.
So the greatest common factor 535,829,400 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 625/535, 714/829, 589/400

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 625/535, 714/829, 589/400?

Answer: LCM of Numerators as per given numbers 625/535, 714/829, 589/400 is

LCM of Numerators i.e. for 625,714,589 is 262841250

GCF of denominators i.e. for 535,829,400 is 1.

Thus, LCM of Fractions is 262841250.Finally, LCM of Fractions for 625/535, 714/829, 589/400 is 262841250.