Least Common Multiple of 774/931, 4500/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 774/931, 4500/570 quickly i.e. 193500/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/931, 4500/570 is 193500/19.

LCM(774/931, 4500/570) = 193500/19

LCM of 774/931, 4500/570

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 774/931,4500/570

Given numbers are 774/931,4500/570

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 774,4500

Least Common Multiple of Numerators i.e. LCM of 774,4500 is 193500.

GCF of Denominators means GCF of 931,570 as per the given fractions.

GCF of 931,570 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,4500

LCM of Fractions 774/931,4500/570 is 193500/19

2 774, 4500
3 387, 2250
3 129, 750
43, 250

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 250 = 193500

Least Common Multiple of 774,4500 with GCF Formula

Least Common Multiple of 774,4500 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 774,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,4500) = 18

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

GCF(774,4500) x common factors =18 x 1 = 18

LCM(774,4500) = ( 774 × 4500 ) / 18

LCM(774,4500) = 3483000 / 18

LCM(774,4500) = 193500


Lets's calculate GCF of 931,570

19 931, 570
49, 30

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193500/19

Therefore the LCM of Fractions 774/931,4500/570 is 193500/19

Greatest Common Factor of 931,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,570 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 931,570 . The biggest common factor number is the GCF number.
So the greatest common factor 931,570 is 19.


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 774/931, 4500/570

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 774/931, 4500/570?

Answer: LCM of Numerators as per given numbers 774/931, 4500/570 is

LCM of Numerators i.e. for 774,4500 is 193500

GCF of denominators i.e. for 931,570 is 19.

Thus, LCM of Fractions is 193500/19.Finally, LCM of Fractions for 774/931, 4500/570 is 193500/19.