Least Common Multiple of 3465/770, 2439/2970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3465/770, 2439/2970 quickly i.e. 939015/110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3465/770, 2439/2970 is 939015/110.

LCM(3465/770, 2439/2970) = 939015/110

LCM of 3465/770, 2439/2970

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 3465/770,2439/2970

Given numbers are 3465/770,2439/2970

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 3465,2439

Least Common Multiple of Numerators i.e. LCM of 3465,2439 is 939015.

GCF of Denominators means GCF of 770,2970 as per the given fractions.

GCF of 770,2970 is 110 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3465,2439

LCM of Fractions 3465/770,2439/2970 is 939015/110

3 3465, 2439
3 1155, 813
385, 271

∴ So the LCM of the given numbers is 3 x 3 x 385 x 271 = 939015

Least Common Multiple of 3465,2439 with GCF Formula

Least Common Multiple of 3465,2439 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 3465,2439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3465,2439) = 9

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

GCF(3465,2439) x common factors =9 x 1 = 9

LCM(3465,2439) = ( 3465 × 2439 ) / 9

LCM(3465,2439) = 8451135 / 9

LCM(3465,2439) = 939015


Lets's calculate GCF of 770,2970

2 770, 2970
5 385, 1485
11 77, 297
7, 27

∴ So the GCF of the given numbers is 2 x 5 x 11 = 110

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939015/110

Therefore the LCM of Fractions 3465/770,2439/2970 is 939015/110

Greatest Common Factor of 770,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,2970 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 770,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 770,2970 is 110.


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 3465/770, 2439/2970

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 3465/770, 2439/2970?

Answer: LCM of Numerators as per given numbers 3465/770, 2439/2970 is

LCM of Numerators i.e. for 3465,2439 is 939015

GCF of denominators i.e. for 770,2970 is 110.

Thus, LCM of Fractions is 939015/110.Finally, LCM of Fractions for 3465/770, 2439/2970 is 939015/110.