Least Common Multiple of 751/84, 578/1018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 751/84, 578/1018 quickly i.e. 217039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 751/84, 578/1018 is 217039.

LCM(751/84, 578/1018) = 217039

LCM of 751/84, 578/1018

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 751/84,578/1018

Given numbers are 751/84,578/1018

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 751,578

Least Common Multiple of Numerators i.e. LCM of 751,578 is 434078.

GCF of Denominators means GCF of 84,1018 as per the given fractions.

GCF of 84,1018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 751,578

LCM of Fractions 751/84,578/1018 is 217039

Given numbers has no common factors except 1. So, there LCM is their product i.e 434078

Least Common Multiple of 751,578 with GCF Formula

Least Common Multiple of 751,578 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 751,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,578) = 1

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

GCF(751,578) x common factors =1 x 1 = 1

LCM(751,578) = ( 751 × 578 ) / 1

LCM(751,578) = 434078 / 1

LCM(751,578) = 434078


Lets's calculate GCF of 84,1018

2 84, 1018
42, 509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434078/2

Therefore the LCM of Fractions 751/84,578/1018 is 217039

Greatest Common Factor of 84,1018 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1018 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1,2,509,1018

Greatest Common Factor

We found the factors 84,1018 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1018 is 2.


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 751/84, 578/1018

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 751/84, 578/1018?

Answer: LCM of Numerators as per given numbers 751/84, 578/1018 is

LCM of Numerators i.e. for 751,578 is 434078

GCF of denominators i.e. for 84,1018 is 2.

Thus, LCM of Fractions is 217039.Finally, LCM of Fractions for 751/84, 578/1018 is 217039.