Least Common Multiple of 930/800, 902/310, 112/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/800, 902/310, 112/862 quickly i.e. 11744040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/800, 902/310, 112/862 is 11744040.

LCM(930/800, 902/310, 112/862) = 11744040

LCM of 930/800, 902/310, 112/862

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 930/800,902/310,112/862

Given numbers are 930/800,902/310,112/862

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 930,902,112

Least Common Multiple of Numerators i.e. LCM of 930,902,112 is 23488080.

GCF of Denominators means GCF of 800,310,862 as per the given fractions.

GCF of 800,310,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,902,112

LCM of Fractions 930/800,902/310,112/862 is 11744040

2 930, 902, 112
465, 451, 56

∴ So the LCM of the given numbers is 2 x 465 x 451 x 56 = 23488080

Least Common Multiple of 930,902,112 with GCF Formula

Least Common Multiple of 930,902,112 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 930,902,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,902,112) = 2

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

GCF(930,902,112) x common factors =2 x 2 = 4

LCM(930,902,112) = ( 930 × 902 × 112 ) / 4

LCM(930,902,112) = 93952320 / 4

LCM(930,902,112) = 23488080


Lets's calculate GCF of 800,310,862

2 800, 310, 862
400, 155, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23488080/2

Therefore the LCM of Fractions 930/800,902/310,112/862 is 11744040

Greatest Common Factor of 800,310,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,310,862 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 862

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

1,2,431,862

Greatest Common Factor

We found the factors 800,310,862 . The biggest common factor number is the GCF number.
So the greatest common factor 800,310,862 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 930/800, 902/310, 112/862

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 930/800, 902/310, 112/862?

Answer: LCM of Numerators as per given numbers 930/800, 902/310, 112/862 is

LCM of Numerators i.e. for 930,902,112 is 23488080

GCF of denominators i.e. for 800,310,862 is 2.

Thus, LCM of Fractions is 11744040.Finally, LCM of Fractions for 930/800, 902/310, 112/862 is 11744040.