Least Common Multiple of 12/719, 138/946, 356/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/719, 138/946, 356/925 quickly i.e. 24564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/719, 138/946, 356/925 is 24564.

LCM(12/719, 138/946, 356/925) = 24564

LCM of 12/719, 138/946, 356/925

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 12/719,138/946,356/925

Given numbers are 12/719,138/946,356/925

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 12,138,356

Least Common Multiple of Numerators i.e. LCM of 12,138,356 is 24564.

GCF of Denominators means GCF of 719,946,925 as per the given fractions.

GCF of 719,946,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,138,356

LCM of Fractions 12/719,138/946,356/925 is 24564

2 12, 138, 356
2 6, 69, 178
3 3, 69, 89
1, 23, 89

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 23 x 89 = 24564

Least Common Multiple of 12,138,356 with GCF Formula

Least Common Multiple of 12,138,356 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 12,138,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,138,356) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(12,138,356) x common factors =2 x 12 = 24

LCM(12,138,356) = ( 12 × 138 × 356 ) / 24

LCM(12,138,356) = 589536 / 24

LCM(12,138,356) = 24564


Lets's calculate GCF of 719,946,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24564/1

Therefore the LCM of Fractions 12/719,138/946,356/925 is 24564

Greatest Common Factor of 719,946,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,946,925 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 719,946,925 . The biggest common factor number is the GCF number.
So the greatest common factor 719,946,925 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 12/719, 138/946, 356/925

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 12/719, 138/946, 356/925?

Answer: LCM of Numerators as per given numbers 12/719, 138/946, 356/925 is

LCM of Numerators i.e. for 12,138,356 is 24564

GCF of denominators i.e. for 719,946,925 is 1.

Thus, LCM of Fractions is 24564.Finally, LCM of Fractions for 12/719, 138/946, 356/925 is 24564.