Least Common Multiple of 57/840, 60/747, 798/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/840, 60/747, 798/361 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/840, 60/747, 798/361 is 7980.

LCM(57/840, 60/747, 798/361) = 7980

LCM of 57/840, 60/747, 798/361

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 57/840,60/747,798/361

Given numbers are 57/840,60/747,798/361

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 57,60,798

Least Common Multiple of Numerators i.e. LCM of 57,60,798 is 7980.

GCF of Denominators means GCF of 840,747,361 as per the given fractions.

GCF of 840,747,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,60,798

LCM of Fractions 57/840,60/747,798/361 is 7980

2 57, 60, 798
3 57, 30, 399
19 19, 10, 133
1, 10, 7

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 10 x 7 = 7980

Least Common Multiple of 57,60,798 with GCF Formula

Least Common Multiple of 57,60,798 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 57,60,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,60,798) = 3

common factors(in case of two or more numbers have common factors) = 114

GCF(57,60,798) x common factors =3 x 114 = 342

LCM(57,60,798) = ( 57 × 60 × 798 ) / 342

LCM(57,60,798) = 2729160 / 342

LCM(57,60,798) = 7980


Lets's calculate GCF of 840,747,361

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1

Therefore the LCM of Fractions 57/840,60/747,798/361 is 7980

Greatest Common Factor of 840,747,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,747,361 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 840,747,361 . The biggest common factor number is the GCF number.
So the greatest common factor 840,747,361 is 1.


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 57/840, 60/747, 798/361

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 57/840, 60/747, 798/361?

Answer: LCM of Numerators as per given numbers 57/840, 60/747, 798/361 is

LCM of Numerators i.e. for 57,60,798 is 7980

GCF of denominators i.e. for 840,747,361 is 1.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 57/840, 60/747, 798/361 is 7980.