Least Common Multiple of 7498/78, 8007/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7498/78, 8007/455 quickly i.e. 60036486/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7498/78, 8007/455 is 60036486/13.

LCM(7498/78, 8007/455) = 60036486/13

LCM of 7498/78, 8007/455

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 7498/78,8007/455

Given numbers are 7498/78,8007/455

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 7498,8007

Least Common Multiple of Numerators i.e. LCM of 7498,8007 is 60036486.

GCF of Denominators means GCF of 78,455 as per the given fractions.

GCF of 78,455 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7498,8007

LCM of Fractions 7498/78,8007/455 is 60036486/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 60036486

Least Common Multiple of 7498,8007 with GCF Formula

Least Common Multiple of 7498,8007 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 7498,8007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7498,8007) = 1

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

GCF(7498,8007) x common factors =1 x 1 = 1

LCM(7498,8007) = ( 7498 × 8007 ) / 1

LCM(7498,8007) = 60036486 / 1

LCM(7498,8007) = 60036486


Lets's calculate GCF of 78,455

13 78, 455
6, 35

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60036486/13

Therefore the LCM of Fractions 7498/78,8007/455 is 60036486/13

Greatest Common Factor of 78,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,455 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 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 78,455 . The biggest common factor number is the GCF number.
So the greatest common factor 78,455 is 13.


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 7498/78, 8007/455

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 7498/78, 8007/455?

Answer: LCM of Numerators as per given numbers 7498/78, 8007/455 is

LCM of Numerators i.e. for 7498,8007 is 60036486

GCF of denominators i.e. for 78,455 is 13.

Thus, LCM of Fractions is 60036486/13.Finally, LCM of Fractions for 7498/78, 8007/455 is 60036486/13.