Least Common Multiple of 754/948, 903/515, 678/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/948, 903/515, 678/592 quickly i.e. 76937406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/948, 903/515, 678/592 is 76937406.

LCM(754/948, 903/515, 678/592) = 76937406

LCM of 754/948, 903/515, 678/592

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 754/948,903/515,678/592

Given numbers are 754/948,903/515,678/592

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 754,903,678

Least Common Multiple of Numerators i.e. LCM of 754,903,678 is 76937406.

GCF of Denominators means GCF of 948,515,592 as per the given fractions.

GCF of 948,515,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,903,678

LCM of Fractions 754/948,903/515,678/592 is 76937406

2 754, 903, 678
3 377, 903, 339
377, 301, 113

∴ So the LCM of the given numbers is 2 x 3 x 377 x 301 x 113 = 76937406

Least Common Multiple of 754,903,678 with GCF Formula

Least Common Multiple of 754,903,678 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 754,903,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,903,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(754,903,678) x common factors =1 x 6 = 6

LCM(754,903,678) = ( 754 × 903 × 678 ) / 6

LCM(754,903,678) = 461624436 / 6

LCM(754,903,678) = 76937406


Lets's calculate GCF of 948,515,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76937406/1

Therefore the LCM of Fractions 754/948,903/515,678/592 is 76937406

Greatest Common Factor of 948,515,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,515,592 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 948,515,592 . The biggest common factor number is the GCF number.
So the greatest common factor 948,515,592 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 754/948, 903/515, 678/592

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 754/948, 903/515, 678/592?

Answer: LCM of Numerators as per given numbers 754/948, 903/515, 678/592 is

LCM of Numerators i.e. for 754,903,678 is 76937406

GCF of denominators i.e. for 948,515,592 is 1.

Thus, LCM of Fractions is 76937406.Finally, LCM of Fractions for 754/948, 903/515, 678/592 is 76937406.