Least Common Multiple of 870/76, 836/33, 731/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/76, 836/33, 731/998 quickly i.e. 265835460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/76, 836/33, 731/998 is 265835460.

LCM(870/76, 836/33, 731/998) = 265835460

LCM of 870/76, 836/33, 731/998

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 870/76,836/33,731/998

Given numbers are 870/76,836/33,731/998

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 870,836,731

Least Common Multiple of Numerators i.e. LCM of 870,836,731 is 265835460.

GCF of Denominators means GCF of 76,33,998 as per the given fractions.

GCF of 76,33,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,836,731

LCM of Fractions 870/76,836/33,731/998 is 265835460

2 870, 836, 731
435, 418, 731

∴ So the LCM of the given numbers is 2 x 435 x 418 x 731 = 265835460

Least Common Multiple of 870,836,731 with GCF Formula

Least Common Multiple of 870,836,731 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 870,836,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,836,731) = 1

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

GCF(870,836,731) x common factors =1 x 2 = 2

LCM(870,836,731) = ( 870 × 836 × 731 ) / 2

LCM(870,836,731) = 531670920 / 2

LCM(870,836,731) = 265835460


Lets's calculate GCF of 76,33,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265835460/1

Therefore the LCM of Fractions 870/76,836/33,731/998 is 265835460

Greatest Common Factor of 76,33,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,33,998 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 76,33,998 . The biggest common factor number is the GCF number.
So the greatest common factor 76,33,998 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 870/76, 836/33, 731/998

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 870/76, 836/33, 731/998?

Answer: LCM of Numerators as per given numbers 870/76, 836/33, 731/998 is

LCM of Numerators i.e. for 870,836,731 is 265835460

GCF of denominators i.e. for 76,33,998 is 1.

Thus, LCM of Fractions is 265835460.Finally, LCM of Fractions for 870/76, 836/33, 731/998 is 265835460.