Least Common Multiple of 35/497, 525/666, 408/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/497, 525/666, 408/719 quickly i.e. 71400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/497, 525/666, 408/719 is 71400.

LCM(35/497, 525/666, 408/719) = 71400

LCM of 35/497, 525/666, 408/719

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 35/497,525/666,408/719

Given numbers are 35/497,525/666,408/719

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 35,525,408

Least Common Multiple of Numerators i.e. LCM of 35,525,408 is 71400.

GCF of Denominators means GCF of 497,666,719 as per the given fractions.

GCF of 497,666,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,525,408

LCM of Fractions 35/497,525/666,408/719 is 71400

3 35, 525, 408
5 35, 175, 136
7 7, 35, 136
1, 5, 136

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 5 x 136 = 71400

Least Common Multiple of 35,525,408 with GCF Formula

Least Common Multiple of 35,525,408 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 35,525,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,525,408) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(35,525,408) x common factors =1 x 105 = 105

LCM(35,525,408) = ( 35 × 525 × 408 ) / 105

LCM(35,525,408) = 7497000 / 105

LCM(35,525,408) = 71400


Lets's calculate GCF of 497,666,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71400/1

Therefore the LCM of Fractions 35/497,525/666,408/719 is 71400

Greatest Common Factor of 497,666,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,666,719 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 497,666,719 . The biggest common factor number is the GCF number.
So the greatest common factor 497,666,719 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 35/497, 525/666, 408/719

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 35/497, 525/666, 408/719?

Answer: LCM of Numerators as per given numbers 35/497, 525/666, 408/719 is

LCM of Numerators i.e. for 35,525,408 is 71400

GCF of denominators i.e. for 497,666,719 is 1.

Thus, LCM of Fractions is 71400.Finally, LCM of Fractions for 35/497, 525/666, 408/719 is 71400.