Least Common Multiple of 969/691, 920/240, 388/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/691, 920/240, 388/608 quickly i.e. 86473560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/691, 920/240, 388/608 is 86473560.

LCM(969/691, 920/240, 388/608) = 86473560

LCM of 969/691, 920/240, 388/608

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 969/691,920/240,388/608

Given numbers are 969/691,920/240,388/608

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 969,920,388

Least Common Multiple of Numerators i.e. LCM of 969,920,388 is 86473560.

GCF of Denominators means GCF of 691,240,608 as per the given fractions.

GCF of 691,240,608 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,920,388

LCM of Fractions 969/691,920/240,388/608 is 86473560

2 969, 920, 388
2 969, 460, 194
969, 230, 97

∴ So the LCM of the given numbers is 2 x 2 x 969 x 230 x 97 = 86473560

Least Common Multiple of 969,920,388 with GCF Formula

Least Common Multiple of 969,920,388 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 969,920,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,920,388) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(969,920,388) x common factors =1 x 4 = 4

LCM(969,920,388) = ( 969 × 920 × 388 ) / 4

LCM(969,920,388) = 345894240 / 4

LCM(969,920,388) = 86473560


Lets's calculate GCF of 691,240,608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86473560/1

Therefore the LCM of Fractions 969/691,920/240,388/608 is 86473560

Greatest Common Factor of 691,240,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,240,608 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 691,240,608 . The biggest common factor number is the GCF number.
So the greatest common factor 691,240,608 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 969/691, 920/240, 388/608

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 969/691, 920/240, 388/608?

Answer: LCM of Numerators as per given numbers 969/691, 920/240, 388/608 is

LCM of Numerators i.e. for 969,920,388 is 86473560

GCF of denominators i.e. for 691,240,608 is 1.

Thus, LCM of Fractions is 86473560.Finally, LCM of Fractions for 969/691, 920/240, 388/608 is 86473560.