Least Common Multiple of 651/213, 617/374, 496/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 651/213, 617/374, 496/503 quickly i.e. 6426672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/213, 617/374, 496/503 is 6426672.

LCM(651/213, 617/374, 496/503) = 6426672

LCM of 651/213, 617/374, 496/503

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 651/213,617/374,496/503

Given numbers are 651/213,617/374,496/503

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 651,617,496

Least Common Multiple of Numerators i.e. LCM of 651,617,496 is 6426672.

GCF of Denominators means GCF of 213,374,503 as per the given fractions.

GCF of 213,374,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,617,496

LCM of Fractions 651/213,617/374,496/503 is 6426672

31 651, 617, 496
21, 617, 16

∴ So the LCM of the given numbers is 31 x 21 x 617 x 16 = 6426672

Least Common Multiple of 651,617,496 with GCF Formula

Least Common Multiple of 651,617,496 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 651,617,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,617,496) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(651,617,496) x common factors =1 x 31 = 31

LCM(651,617,496) = ( 651 × 617 × 496 ) / 31

LCM(651,617,496) = 199226832 / 31

LCM(651,617,496) = 6426672


Lets's calculate GCF of 213,374,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6426672/1

Therefore the LCM of Fractions 651/213,617/374,496/503 is 6426672

Greatest Common Factor of 213,374,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,374,503 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 213,374,503 . The biggest common factor number is the GCF number.
So the greatest common factor 213,374,503 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 651/213, 617/374, 496/503

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 651/213, 617/374, 496/503?

Answer: LCM of Numerators as per given numbers 651/213, 617/374, 496/503 is

LCM of Numerators i.e. for 651,617,496 is 6426672

GCF of denominators i.e. for 213,374,503 is 1.

Thus, LCM of Fractions is 6426672.Finally, LCM of Fractions for 651/213, 617/374, 496/503 is 6426672.