Least Common Multiple of 75/152, 39/830, 611/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/152, 39/830, 611/924 quickly i.e. 45825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/152, 39/830, 611/924 is 45825/2.

LCM(75/152, 39/830, 611/924) = 45825/2

LCM of 75/152, 39/830, 611/924

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 75/152,39/830,611/924

Given numbers are 75/152,39/830,611/924

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 75,39,611

Least Common Multiple of Numerators i.e. LCM of 75,39,611 is 45825.

GCF of Denominators means GCF of 152,830,924 as per the given fractions.

GCF of 152,830,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,39,611

LCM of Fractions 75/152,39/830,611/924 is 45825/2

3 75, 39, 611
13 25, 13, 611
25, 1, 47

∴ So the LCM of the given numbers is 3 x 13 x 25 x 1 x 47 = 45825

Least Common Multiple of 75,39,611 with GCF Formula

Least Common Multiple of 75,39,611 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 75,39,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,39,611) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(75,39,611) x common factors =1 x 39 = 39

LCM(75,39,611) = ( 75 × 39 × 611 ) / 39

LCM(75,39,611) = 1787175 / 39

LCM(75,39,611) = 45825


Lets's calculate GCF of 152,830,924

2 152, 830, 924
76, 415, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45825/2

Therefore the LCM of Fractions 75/152,39/830,611/924 is 45825/2

Greatest Common Factor of 152,830,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,830,924 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 152,830,924 . The biggest common factor number is the GCF number.
So the greatest common factor 152,830,924 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 75/152, 39/830, 611/924

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 75/152, 39/830, 611/924?

Answer: LCM of Numerators as per given numbers 75/152, 39/830, 611/924 is

LCM of Numerators i.e. for 75,39,611 is 45825

GCF of denominators i.e. for 152,830,924 is 2.

Thus, LCM of Fractions is 45825/2.Finally, LCM of Fractions for 75/152, 39/830, 611/924 is 45825/2.