Least Common Multiple of 87/862, 68/750, 982/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/862, 68/750, 982/650 quickly i.e. 1452378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/862, 68/750, 982/650 is 1452378.

LCM(87/862, 68/750, 982/650) = 1452378

LCM of 87/862, 68/750, 982/650

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 87/862,68/750,982/650

Given numbers are 87/862,68/750,982/650

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 87,68,982

Least Common Multiple of Numerators i.e. LCM of 87,68,982 is 2904756.

GCF of Denominators means GCF of 862,750,650 as per the given fractions.

GCF of 862,750,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,68,982

LCM of Fractions 87/862,68/750,982/650 is 1452378

2 87, 68, 982
87, 34, 491

∴ So the LCM of the given numbers is 2 x 87 x 34 x 491 = 2904756

Least Common Multiple of 87,68,982 with GCF Formula

Least Common Multiple of 87,68,982 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 87,68,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,68,982) = 1

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

GCF(87,68,982) x common factors =1 x 2 = 2

LCM(87,68,982) = ( 87 × 68 × 982 ) / 2

LCM(87,68,982) = 5809512 / 2

LCM(87,68,982) = 2904756


Lets's calculate GCF of 862,750,650

2 862, 750, 650
431, 375, 325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2904756/2

Therefore the LCM of Fractions 87/862,68/750,982/650 is 1452378

Greatest Common Factor of 862,750,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,750,650 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 862,750,650 . The biggest common factor number is the GCF number.
So the greatest common factor 862,750,650 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 87/862, 68/750, 982/650

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 87/862, 68/750, 982/650?

Answer: LCM of Numerators as per given numbers 87/862, 68/750, 982/650 is

LCM of Numerators i.e. for 87,68,982 is 2904756

GCF of denominators i.e. for 862,750,650 is 2.

Thus, LCM of Fractions is 1452378.Finally, LCM of Fractions for 87/862, 68/750, 982/650 is 1452378.