Least Common Multiple of 770/30, 294/2010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/30, 294/2010 quickly i.e. 539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/30, 294/2010 is 539.

LCM(770/30, 294/2010) = 539

LCM of 770/30, 294/2010

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 770/30,294/2010

Given numbers are 770/30,294/2010

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 770,294

Least Common Multiple of Numerators i.e. LCM of 770,294 is 16170.

GCF of Denominators means GCF of 30,2010 as per the given fractions.

GCF of 30,2010 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,294

LCM of Fractions 770/30,294/2010 is 539

2 770, 294
7 385, 147
55, 21

∴ So the LCM of the given numbers is 2 x 7 x 55 x 21 = 16170

Least Common Multiple of 770,294 with GCF Formula

Least Common Multiple of 770,294 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 770,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,294) = 14

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

GCF(770,294) x common factors =14 x 1 = 14

LCM(770,294) = ( 770 × 294 ) / 14

LCM(770,294) = 226380 / 14

LCM(770,294) = 16170


Lets's calculate GCF of 30,2010

2 30, 2010
3 15, 1005
5 5, 335
1, 67

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16170/30

Therefore the LCM of Fractions 770/30,294/2010 is 539

Greatest Common Factor of 30,2010 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,2010 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 2010

List of positive integer factors of 2010 that divides 2010 without a remainder.

1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010

Greatest Common Factor

We found the factors 30,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 30,2010 is 30.


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 770/30, 294/2010

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 770/30, 294/2010?

Answer: LCM of Numerators as per given numbers 770/30, 294/2010 is

LCM of Numerators i.e. for 770,294 is 16170

GCF of denominators i.e. for 30,2010 is 30.

Thus, LCM of Fractions is 539.Finally, LCM of Fractions for 770/30, 294/2010 is 539.