Least Common Multiple of 384/70, 770/2924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/70, 770/2924 quickly i.e. 73920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/70, 770/2924 is 73920.

LCM(384/70, 770/2924) = 73920

LCM of 384/70, 770/2924

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 384/70,770/2924

Given numbers are 384/70,770/2924

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 384,770

Least Common Multiple of Numerators i.e. LCM of 384,770 is 147840.

GCF of Denominators means GCF of 70,2924 as per the given fractions.

GCF of 70,2924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,770

LCM of Fractions 384/70,770/2924 is 73920

2 384, 770
192, 385

∴ So the LCM of the given numbers is 2 x 192 x 385 = 147840

Least Common Multiple of 384,770 with GCF Formula

Least Common Multiple of 384,770 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 384,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,770) = 2

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

GCF(384,770) x common factors =2 x 1 = 2

LCM(384,770) = ( 384 × 770 ) / 2

LCM(384,770) = 295680 / 2

LCM(384,770) = 147840


Lets's calculate GCF of 70,2924

2 70, 2924
35, 1462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147840/2

Therefore the LCM of Fractions 384/70,770/2924 is 73920

Greatest Common Factor of 70,2924 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,2924 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Greatest Common Factor

We found the factors 70,2924 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2924 is 2.


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 384/70, 770/2924

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 384/70, 770/2924?

Answer: LCM of Numerators as per given numbers 384/70, 770/2924 is

LCM of Numerators i.e. for 384,770 is 147840

GCF of denominators i.e. for 70,2924 is 2.

Thus, LCM of Fractions is 73920.Finally, LCM of Fractions for 384/70, 770/2924 is 73920.