Least Common Multiple of 714/635, 377/814, 435/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/635, 377/814, 435/451 quickly i.e. 1345890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/635, 377/814, 435/451 is 1345890.

LCM(714/635, 377/814, 435/451) = 1345890

LCM of 714/635, 377/814, 435/451

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 714/635,377/814,435/451

Given numbers are 714/635,377/814,435/451

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 714,377,435

Least Common Multiple of Numerators i.e. LCM of 714,377,435 is 1345890.

GCF of Denominators means GCF of 635,814,451 as per the given fractions.

GCF of 635,814,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,377,435

LCM of Fractions 714/635,377/814,435/451 is 1345890

3 714, 377, 435
29 238, 377, 145
238, 13, 5

∴ So the LCM of the given numbers is 3 x 29 x 238 x 13 x 5 = 1345890

Least Common Multiple of 714,377,435 with GCF Formula

Least Common Multiple of 714,377,435 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 714,377,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,377,435) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(714,377,435) x common factors =1 x 87 = 87

LCM(714,377,435) = ( 714 × 377 × 435 ) / 87

LCM(714,377,435) = 117092430 / 87

LCM(714,377,435) = 1345890


Lets's calculate GCF of 635,814,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1345890/1

Therefore the LCM of Fractions 714/635,377/814,435/451 is 1345890

Greatest Common Factor of 635,814,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,814,451 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 635,814,451 . The biggest common factor number is the GCF number.
So the greatest common factor 635,814,451 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 714/635, 377/814, 435/451

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 714/635, 377/814, 435/451?

Answer: LCM of Numerators as per given numbers 714/635, 377/814, 435/451 is

LCM of Numerators i.e. for 714,377,435 is 1345890

GCF of denominators i.e. for 635,814,451 is 1.

Thus, LCM of Fractions is 1345890.Finally, LCM of Fractions for 714/635, 377/814, 435/451 is 1345890.