Least Common Multiple of 76/110, 499/142, 958/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/110, 499/142, 958/875 quickly i.e. 18165596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/110, 499/142, 958/875 is 18165596.

LCM(76/110, 499/142, 958/875) = 18165596

LCM of 76/110, 499/142, 958/875

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 76/110,499/142,958/875

Given numbers are 76/110,499/142,958/875

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 76,499,958

Least Common Multiple of Numerators i.e. LCM of 76,499,958 is 18165596.

GCF of Denominators means GCF of 110,142,875 as per the given fractions.

GCF of 110,142,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,499,958

LCM of Fractions 76/110,499/142,958/875 is 18165596

2 76, 499, 958
38, 499, 479

∴ So the LCM of the given numbers is 2 x 38 x 499 x 479 = 18165596

Least Common Multiple of 76,499,958 with GCF Formula

Least Common Multiple of 76,499,958 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 76,499,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,499,958) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,499,958) x common factors =1 x 2 = 2

LCM(76,499,958) = ( 76 × 499 × 958 ) / 2

LCM(76,499,958) = 36331192 / 2

LCM(76,499,958) = 18165596


Lets's calculate GCF of 110,142,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18165596/1

Therefore the LCM of Fractions 76/110,499/142,958/875 is 18165596

Greatest Common Factor of 110,142,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,142,875 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 110,142,875 . The biggest common factor number is the GCF number.
So the greatest common factor 110,142,875 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 76/110, 499/142, 958/875

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 76/110, 499/142, 958/875?

Answer: LCM of Numerators as per given numbers 76/110, 499/142, 958/875 is

LCM of Numerators i.e. for 76,499,958 is 18165596

GCF of denominators i.e. for 110,142,875 is 1.

Thus, LCM of Fractions is 18165596.Finally, LCM of Fractions for 76/110, 499/142, 958/875 is 18165596.