Least Common Multiple of 625/643, 235/680, 478/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/643, 235/680, 478/786 quickly i.e. 14041250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/643, 235/680, 478/786 is 14041250.

LCM(625/643, 235/680, 478/786) = 14041250

LCM of 625/643, 235/680, 478/786

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 625/643,235/680,478/786

Given numbers are 625/643,235/680,478/786

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 625,235,478

Least Common Multiple of Numerators i.e. LCM of 625,235,478 is 14041250.

GCF of Denominators means GCF of 643,680,786 as per the given fractions.

GCF of 643,680,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,235,478

LCM of Fractions 625/643,235/680,478/786 is 14041250

5 625, 235, 478
125, 47, 478

∴ So the LCM of the given numbers is 5 x 125 x 47 x 478 = 14041250

Least Common Multiple of 625,235,478 with GCF Formula

Least Common Multiple of 625,235,478 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 625,235,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,235,478) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(625,235,478) x common factors =1 x 5 = 5

LCM(625,235,478) = ( 625 × 235 × 478 ) / 5

LCM(625,235,478) = 70206250 / 5

LCM(625,235,478) = 14041250


Lets's calculate GCF of 643,680,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14041250/1

Therefore the LCM of Fractions 625/643,235/680,478/786 is 14041250

Greatest Common Factor of 643,680,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,680,786 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 643,680,786 . The biggest common factor number is the GCF number.
So the greatest common factor 643,680,786 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 625/643, 235/680, 478/786

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 625/643, 235/680, 478/786?

Answer: LCM of Numerators as per given numbers 625/643, 235/680, 478/786 is

LCM of Numerators i.e. for 625,235,478 is 14041250

GCF of denominators i.e. for 643,680,786 is 1.

Thus, LCM of Fractions is 14041250.Finally, LCM of Fractions for 625/643, 235/680, 478/786 is 14041250.