Least Common Multiple of 746/373, 532/977, 102/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/373, 532/977, 102/394 quickly i.e. 10120236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/373, 532/977, 102/394 is 10120236.

LCM(746/373, 532/977, 102/394) = 10120236

LCM of 746/373, 532/977, 102/394

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 746/373,532/977,102/394

Given numbers are 746/373,532/977,102/394

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 746,532,102

Least Common Multiple of Numerators i.e. LCM of 746,532,102 is 10120236.

GCF of Denominators means GCF of 373,977,394 as per the given fractions.

GCF of 373,977,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,532,102

LCM of Fractions 746/373,532/977,102/394 is 10120236

2 746, 532, 102
373, 266, 51

∴ So the LCM of the given numbers is 2 x 373 x 266 x 51 = 10120236

Least Common Multiple of 746,532,102 with GCF Formula

Least Common Multiple of 746,532,102 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 746,532,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,532,102) = 2

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

GCF(746,532,102) x common factors =2 x 2 = 4

LCM(746,532,102) = ( 746 × 532 × 102 ) / 4

LCM(746,532,102) = 40480944 / 4

LCM(746,532,102) = 10120236


Lets's calculate GCF of 373,977,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10120236/1

Therefore the LCM of Fractions 746/373,532/977,102/394 is 10120236

Greatest Common Factor of 373,977,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,977,394 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 373,977,394 . The biggest common factor number is the GCF number.
So the greatest common factor 373,977,394 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 746/373, 532/977, 102/394

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 746/373, 532/977, 102/394?

Answer: LCM of Numerators as per given numbers 746/373, 532/977, 102/394 is

LCM of Numerators i.e. for 746,532,102 is 10120236

GCF of denominators i.e. for 373,977,394 is 1.

Thus, LCM of Fractions is 10120236.Finally, LCM of Fractions for 746/373, 532/977, 102/394 is 10120236.