Least Common Multiple of 248/78, 3755/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 248/78, 3755/756 quickly i.e. 931240/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 248/78, 3755/756 is 931240/6.

LCM(248/78, 3755/756) = 931240/6

LCM of 248/78, 3755/756

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 248/78,3755/756

Given numbers are 248/78,3755/756

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 248,3755

Least Common Multiple of Numerators i.e. LCM of 248,3755 is 931240.

GCF of Denominators means GCF of 78,756 as per the given fractions.

GCF of 78,756 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 248,3755

LCM of Fractions 248/78,3755/756 is 931240/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 931240

Least Common Multiple of 248,3755 with GCF Formula

Least Common Multiple of 248,3755 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 248,3755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,3755) = 1

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

GCF(248,3755) x common factors =1 x 1 = 1

LCM(248,3755) = ( 248 × 3755 ) / 1

LCM(248,3755) = 931240 / 1

LCM(248,3755) = 931240


Lets's calculate GCF of 78,756

2 78, 756
3 39, 378
13, 126

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 931240/6

Therefore the LCM of Fractions 248/78,3755/756 is 931240/6

Greatest Common Factor of 78,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,756 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 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 78,756 . The biggest common factor number is the GCF number.
So the greatest common factor 78,756 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 248/78, 3755/756

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 248/78, 3755/756?

Answer: LCM of Numerators as per given numbers 248/78, 3755/756 is

LCM of Numerators i.e. for 248,3755 is 931240

GCF of denominators i.e. for 78,756 is 6.

Thus, LCM of Fractions is 931240/6.Finally, LCM of Fractions for 248/78, 3755/756 is 931240/6.