Least Common Multiple of 752/17, 824/66, 875/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/17, 824/66, 875/210 quickly i.e. 67774000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/17, 824/66, 875/210 is 67774000.

LCM(752/17, 824/66, 875/210) = 67774000

LCM of 752/17, 824/66, 875/210

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 752/17,824/66,875/210

Given numbers are 752/17,824/66,875/210

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 752,824,875

Least Common Multiple of Numerators i.e. LCM of 752,824,875 is 67774000.

GCF of Denominators means GCF of 17,66,210 as per the given fractions.

GCF of 17,66,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,824,875

LCM of Fractions 752/17,824/66,875/210 is 67774000

2 752, 824, 875
2 376, 412, 875
2 188, 206, 875
94, 103, 875

∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 103 x 875 = 67774000

Least Common Multiple of 752,824,875 with GCF Formula

Least Common Multiple of 752,824,875 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 752,824,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,824,875) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(752,824,875) x common factors =1 x 8 = 8

LCM(752,824,875) = ( 752 × 824 × 875 ) / 8

LCM(752,824,875) = 542192000 / 8

LCM(752,824,875) = 67774000


Lets's calculate GCF of 17,66,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67774000/1

Therefore the LCM of Fractions 752/17,824/66,875/210 is 67774000

Greatest Common Factor of 17,66,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,66,210 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 17,66,210 . The biggest common factor number is the GCF number.
So the greatest common factor 17,66,210 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 752/17, 824/66, 875/210

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 752/17, 824/66, 875/210?

Answer: LCM of Numerators as per given numbers 752/17, 824/66, 875/210 is

LCM of Numerators i.e. for 752,824,875 is 67774000

GCF of denominators i.e. for 17,66,210 is 1.

Thus, LCM of Fractions is 67774000.Finally, LCM of Fractions for 752/17, 824/66, 875/210 is 67774000.