Least Common Multiple of 707/23, 505/88, 959/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 707/23, 505/88, 959/994 quickly i.e. 484295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/23, 505/88, 959/994 is 484295.

LCM(707/23, 505/88, 959/994) = 484295

LCM of 707/23, 505/88, 959/994

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 707/23,505/88,959/994

Given numbers are 707/23,505/88,959/994

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 707,505,959

Least Common Multiple of Numerators i.e. LCM of 707,505,959 is 484295.

GCF of Denominators means GCF of 23,88,994 as per the given fractions.

GCF of 23,88,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,505,959

LCM of Fractions 707/23,505/88,959/994 is 484295

7 707, 505, 959
101 101, 505, 137
1, 5, 137

∴ So the LCM of the given numbers is 7 x 101 x 1 x 5 x 137 = 484295

Least Common Multiple of 707,505,959 with GCF Formula

Least Common Multiple of 707,505,959 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 707,505,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,505,959) = 1

common factors(in case of two or more numbers have common factors) = 707

GCF(707,505,959) x common factors =1 x 707 = 707

LCM(707,505,959) = ( 707 × 505 × 959 ) / 707

LCM(707,505,959) = 342396565 / 707

LCM(707,505,959) = 484295


Lets's calculate GCF of 23,88,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484295/1

Therefore the LCM of Fractions 707/23,505/88,959/994 is 484295

Greatest Common Factor of 23,88,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,88,994 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 23,88,994 . The biggest common factor number is the GCF number.
So the greatest common factor 23,88,994 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 707/23, 505/88, 959/994

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 707/23, 505/88, 959/994?

Answer: LCM of Numerators as per given numbers 707/23, 505/88, 959/994 is

LCM of Numerators i.e. for 707,505,959 is 484295

GCF of denominators i.e. for 23,88,994 is 1.

Thus, LCM of Fractions is 484295.Finally, LCM of Fractions for 707/23, 505/88, 959/994 is 484295.