Least Common Multiple of 312/754, 8152/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/754, 8152/804 quickly i.e. 158964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/754, 8152/804 is 158964.

LCM(312/754, 8152/804) = 158964

LCM of 312/754, 8152/804

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 312/754,8152/804

Given numbers are 312/754,8152/804

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 312,8152

Least Common Multiple of Numerators i.e. LCM of 312,8152 is 317928.

GCF of Denominators means GCF of 754,804 as per the given fractions.

GCF of 754,804 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,8152

LCM of Fractions 312/754,8152/804 is 158964

2 312, 8152
2 156, 4076
2 78, 2038
39, 1019

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 1019 = 317928

Least Common Multiple of 312,8152 with GCF Formula

Least Common Multiple of 312,8152 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 312,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,8152) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(312,8152) x common factors =8 x 1 = 8

LCM(312,8152) = ( 312 × 8152 ) / 8

LCM(312,8152) = 2543424 / 8

LCM(312,8152) = 317928


Lets's calculate GCF of 754,804

2 754, 804
377, 402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317928/2

Therefore the LCM of Fractions 312/754,8152/804 is 158964

Greatest Common Factor of 754,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,804 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 754,804 . The biggest common factor number is the GCF number.
So the greatest common factor 754,804 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 312/754, 8152/804

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 312/754, 8152/804?

Answer: LCM of Numerators as per given numbers 312/754, 8152/804 is

LCM of Numerators i.e. for 312,8152 is 317928

GCF of denominators i.e. for 754,804 is 2.

Thus, LCM of Fractions is 158964.Finally, LCM of Fractions for 312/754, 8152/804 is 158964.