Least Common Multiple of 67/746, 637/550, 436/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/746, 637/550, 436/719 quickly i.e. 18608044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/746, 637/550, 436/719 is 18608044.

LCM(67/746, 637/550, 436/719) = 18608044

LCM of 67/746, 637/550, 436/719

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 67/746,637/550,436/719

Given numbers are 67/746,637/550,436/719

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 67,637,436

Least Common Multiple of Numerators i.e. LCM of 67,637,436 is 18608044.

GCF of Denominators means GCF of 746,550,719 as per the given fractions.

GCF of 746,550,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,637,436

LCM of Fractions 67/746,637/550,436/719 is 18608044

Given numbers has no common factors except 1. So, there LCM is their product i.e 18608044

Least Common Multiple of 67,637,436 with GCF Formula

Least Common Multiple of 67,637,436 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 67,637,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,637,436) = 1

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

GCF(67,637,436) x common factors =1 x 1 = 1

LCM(67,637,436) = ( 67 × 637 × 436 ) / 1

LCM(67,637,436) = 18608044 / 1

LCM(67,637,436) = 18608044


Lets's calculate GCF of 746,550,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18608044/1

Therefore the LCM of Fractions 67/746,637/550,436/719 is 18608044

Greatest Common Factor of 746,550,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,550,719 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

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 746,550,719 . The biggest common factor number is the GCF number.
So the greatest common factor 746,550,719 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/746, 637/550, 436/719

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 67/746, 637/550, 436/719?

Answer: LCM of Numerators as per given numbers 67/746, 637/550, 436/719 is

LCM of Numerators i.e. for 67,637,436 is 18608044

GCF of denominators i.e. for 746,550,719 is 1.

Thus, LCM of Fractions is 18608044.Finally, LCM of Fractions for 67/746, 637/550, 436/719 is 18608044.