Least Common Multiple of 686/35, 625/6460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/35, 625/6460 quickly i.e. 85750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/35, 625/6460 is 85750.

LCM(686/35, 625/6460) = 85750

LCM of 686/35, 625/6460

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 686/35,625/6460

Given numbers are 686/35,625/6460

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 686,625

Least Common Multiple of Numerators i.e. LCM of 686,625 is 428750.

GCF of Denominators means GCF of 35,6460 as per the given fractions.

GCF of 35,6460 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,625

LCM of Fractions 686/35,625/6460 is 85750

Given numbers has no common factors except 1. So, there LCM is their product i.e 428750

Least Common Multiple of 686,625 with GCF Formula

Least Common Multiple of 686,625 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 686,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,625) = 1

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

GCF(686,625) x common factors =1 x 1 = 1

LCM(686,625) = ( 686 × 625 ) / 1

LCM(686,625) = 428750 / 1

LCM(686,625) = 428750


Lets's calculate GCF of 35,6460

5 35, 6460
7, 1292

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428750/5

Therefore the LCM of Fractions 686/35,625/6460 is 85750

Greatest Common Factor of 35,6460 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,6460 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 6460

List of positive integer factors of 6460 that divides 6460 without a remainder.

1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460

Greatest Common Factor

We found the factors 35,6460 . The biggest common factor number is the GCF number.
So the greatest common factor 35,6460 is 5.


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 686/35, 625/6460

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 686/35, 625/6460?

Answer: LCM of Numerators as per given numbers 686/35, 625/6460 is

LCM of Numerators i.e. for 686,625 is 428750

GCF of denominators i.e. for 35,6460 is 5.

Thus, LCM of Fractions is 85750.Finally, LCM of Fractions for 686/35, 625/6460 is 85750.