Least Common Multiple of 706/658, 643/608, 497/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 706/658, 643/608, 497/403 quickly i.e. 225617126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/658, 643/608, 497/403 is 225617126.

LCM(706/658, 643/608, 497/403) = 225617126

LCM of 706/658, 643/608, 497/403

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 706/658,643/608,497/403

Given numbers are 706/658,643/608,497/403

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 706,643,497

Least Common Multiple of Numerators i.e. LCM of 706,643,497 is 225617126.

GCF of Denominators means GCF of 658,608,403 as per the given fractions.

GCF of 658,608,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,643,497

LCM of Fractions 706/658,643/608,497/403 is 225617126

Given numbers has no common factors except 1. So, there LCM is their product i.e 225617126

Least Common Multiple of 706,643,497 with GCF Formula

Least Common Multiple of 706,643,497 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 706,643,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,643,497) = 1

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

GCF(706,643,497) x common factors =1 x 1 = 1

LCM(706,643,497) = ( 706 × 643 × 497 ) / 1

LCM(706,643,497) = 225617126 / 1

LCM(706,643,497) = 225617126


Lets's calculate GCF of 658,608,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225617126/1

Therefore the LCM of Fractions 706/658,643/608,497/403 is 225617126

Greatest Common Factor of 658,608,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,608,403 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 658,608,403 . The biggest common factor number is the GCF number.
So the greatest common factor 658,608,403 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 706/658, 643/608, 497/403

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 706/658, 643/608, 497/403?

Answer: LCM of Numerators as per given numbers 706/658, 643/608, 497/403 is

LCM of Numerators i.e. for 706,643,497 is 225617126

GCF of denominators i.e. for 658,608,403 is 1.

Thus, LCM of Fractions is 225617126.Finally, LCM of Fractions for 706/658, 643/608, 497/403 is 225617126.