Least Common Multiple of 76/351, 3436/1508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/351, 3436/1508 quickly i.e. 65284/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/351, 3436/1508 is 65284/13.

LCM(76/351, 3436/1508) = 65284/13

LCM of 76/351, 3436/1508

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 76/351,3436/1508

Given numbers are 76/351,3436/1508

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 76,3436

Least Common Multiple of Numerators i.e. LCM of 76,3436 is 65284.

GCF of Denominators means GCF of 351,1508 as per the given fractions.

GCF of 351,1508 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,3436

LCM of Fractions 76/351,3436/1508 is 65284/13

2 76, 3436
2 38, 1718
19, 859

∴ So the LCM of the given numbers is 2 x 2 x 19 x 859 = 65284

Least Common Multiple of 76,3436 with GCF Formula

Least Common Multiple of 76,3436 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 76,3436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,3436) = 4

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

GCF(76,3436) x common factors =4 x 1 = 4

LCM(76,3436) = ( 76 × 3436 ) / 4

LCM(76,3436) = 261136 / 4

LCM(76,3436) = 65284


Lets's calculate GCF of 351,1508

13 351, 1508
27, 116

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65284/13

Therefore the LCM of Fractions 76/351,3436/1508 is 65284/13

Greatest Common Factor of 351,1508 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,1508 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 351,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 351,1508 is 13.


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 76/351, 3436/1508

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 76/351, 3436/1508?

Answer: LCM of Numerators as per given numbers 76/351, 3436/1508 is

LCM of Numerators i.e. for 76,3436 is 65284

GCF of denominators i.e. for 351,1508 is 13.

Thus, LCM of Fractions is 65284/13.Finally, LCM of Fractions for 76/351, 3436/1508 is 65284/13.