Least Common Multiple of 518/892, 7770/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/892, 7770/440 quickly i.e. 7770/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/892, 7770/440 is 7770/4.

LCM(518/892, 7770/440) = 7770/4

LCM of 518/892, 7770/440

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 518/892,7770/440

Given numbers are 518/892,7770/440

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 518,7770

Least Common Multiple of Numerators i.e. LCM of 518,7770 is 7770.

GCF of Denominators means GCF of 892,440 as per the given fractions.

GCF of 892,440 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,7770

LCM of Fractions 518/892,7770/440 is 7770/4

2 518, 7770
7 259, 3885
37 37, 555
1, 15

∴ So the LCM of the given numbers is 2 x 7 x 37 x 1 x 15 = 7770

Least Common Multiple of 518,7770 with GCF Formula

Least Common Multiple of 518,7770 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 518,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,7770) = 518

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

GCF(518,7770) x common factors =518 x 1 = 518

LCM(518,7770) = ( 518 × 7770 ) / 518

LCM(518,7770) = 4024860 / 518

LCM(518,7770) = 7770


Lets's calculate GCF of 892,440

2 892, 440
2 446, 220
223, 110

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7770/4

Therefore the LCM of Fractions 518/892,7770/440 is 7770/4

Greatest Common Factor of 892,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,440 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 892,440 . The biggest common factor number is the GCF number.
So the greatest common factor 892,440 is 4.


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 518/892, 7770/440

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 518/892, 7770/440?

Answer: LCM of Numerators as per given numbers 518/892, 7770/440 is

LCM of Numerators i.e. for 518,7770 is 7770

GCF of denominators i.e. for 892,440 is 4.

Thus, LCM of Fractions is 7770/4.Finally, LCM of Fractions for 518/892, 7770/440 is 7770/4.