Least Common Multiple of 711/78, 3745/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 711/78, 3745/550 quickly i.e. 2662695/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/78, 3745/550 is 2662695/2.

LCM(711/78, 3745/550) = 2662695/2

LCM of 711/78, 3745/550

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 711/78,3745/550

Given numbers are 711/78,3745/550

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 711,3745

Least Common Multiple of Numerators i.e. LCM of 711,3745 is 2662695.

GCF of Denominators means GCF of 78,550 as per the given fractions.

GCF of 78,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,3745

LCM of Fractions 711/78,3745/550 is 2662695/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2662695

Least Common Multiple of 711,3745 with GCF Formula

Least Common Multiple of 711,3745 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 711,3745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,3745) = 1

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

GCF(711,3745) x common factors =1 x 1 = 1

LCM(711,3745) = ( 711 × 3745 ) / 1

LCM(711,3745) = 2662695 / 1

LCM(711,3745) = 2662695


Lets's calculate GCF of 78,550

2 78, 550
39, 275

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2662695/2

Therefore the LCM of Fractions 711/78,3745/550 is 2662695/2

Greatest Common Factor of 78,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,550 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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

Greatest Common Factor

We found the factors 78,550 . The biggest common factor number is the GCF number.
So the greatest common factor 78,550 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 711/78, 3745/550

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 711/78, 3745/550?

Answer: LCM of Numerators as per given numbers 711/78, 3745/550 is

LCM of Numerators i.e. for 711,3745 is 2662695

GCF of denominators i.e. for 78,550 is 2.

Thus, LCM of Fractions is 2662695/2.Finally, LCM of Fractions for 711/78, 3745/550 is 2662695/2.