Least Common Multiple of 76/379, 3524/1553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/379, 3524/1553 quickly i.e. 66956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/379, 3524/1553 is 66956.

LCM(76/379, 3524/1553) = 66956

LCM of 76/379, 3524/1553

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 76/379,3524/1553

Given numbers are 76/379,3524/1553

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 76,3524

Least Common Multiple of Numerators i.e. LCM of 76,3524 is 66956.

GCF of Denominators means GCF of 379,1553 as per the given fractions.

GCF of 379,1553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,3524

LCM of Fractions 76/379,3524/1553 is 66956

2 76, 3524
2 38, 1762
19, 881

∴ So the LCM of the given numbers is 2 x 2 x 19 x 881 = 66956

Least Common Multiple of 76,3524 with GCF Formula

Least Common Multiple of 76,3524 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 76,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,3524) = 4

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

GCF(76,3524) x common factors =4 x 1 = 4

LCM(76,3524) = ( 76 × 3524 ) / 4

LCM(76,3524) = 267824 / 4

LCM(76,3524) = 66956


Lets's calculate GCF of 379,1553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66956/1

Therefore the LCM of Fractions 76/379,3524/1553 is 66956

Greatest Common Factor of 379,1553 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,1553 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 1553

List of positive integer factors of 1553 that divides 1553 without a remainder.

1,1553

Greatest Common Factor

We found the factors 379,1553 . The biggest common factor number is the GCF number.
So the greatest common factor 379,1553 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 76/379, 3524/1553

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 76/379, 3524/1553?

Answer: LCM of Numerators as per given numbers 76/379, 3524/1553 is

LCM of Numerators i.e. for 76,3524 is 66956

GCF of denominators i.e. for 379,1553 is 1.

Thus, LCM of Fractions is 66956.Finally, LCM of Fractions for 76/379, 3524/1553 is 66956.