Least Common Multiple of 930/29, 985/5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/29, 985/5250 quickly i.e. 183210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/29, 985/5250 is 183210.

LCM(930/29, 985/5250) = 183210

LCM of 930/29, 985/5250

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 930/29,985/5250

Given numbers are 930/29,985/5250

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 930,985

Least Common Multiple of Numerators i.e. LCM of 930,985 is 183210.

GCF of Denominators means GCF of 29,5250 as per the given fractions.

GCF of 29,5250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,985

LCM of Fractions 930/29,985/5250 is 183210

5 930, 985
186, 197

∴ So the LCM of the given numbers is 5 x 186 x 197 = 183210

Least Common Multiple of 930,985 with GCF Formula

Least Common Multiple of 930,985 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 930,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,985) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(930,985) x common factors =5 x 1 = 5

LCM(930,985) = ( 930 × 985 ) / 5

LCM(930,985) = 916050 / 5

LCM(930,985) = 183210


Lets's calculate GCF of 29,5250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183210/1

Therefore the LCM of Fractions 930/29,985/5250 is 183210

Greatest Common Factor of 29,5250 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,5250 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250

Greatest Common Factor

We found the factors 29,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5250 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 930/29, 985/5250

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 930/29, 985/5250?

Answer: LCM of Numerators as per given numbers 930/29, 985/5250 is

LCM of Numerators i.e. for 930,985 is 183210

GCF of denominators i.e. for 29,5250 is 1.

Thus, LCM of Fractions is 183210.Finally, LCM of Fractions for 930/29, 985/5250 is 183210.