Least Common Multiple of 4896/374, 3574/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4896/374, 3574/834 quickly i.e. 4374576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4896/374, 3574/834 is 4374576.

LCM(4896/374, 3574/834) = 4374576

LCM of 4896/374, 3574/834

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 4896/374,3574/834

Given numbers are 4896/374,3574/834

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 4896,3574

Least Common Multiple of Numerators i.e. LCM of 4896,3574 is 8749152.

GCF of Denominators means GCF of 374,834 as per the given fractions.

GCF of 374,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4896,3574

LCM of Fractions 4896/374,3574/834 is 4374576

2 4896, 3574
2448, 1787

∴ So the LCM of the given numbers is 2 x 2448 x 1787 = 8749152

Least Common Multiple of 4896,3574 with GCF Formula

Least Common Multiple of 4896,3574 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 4896,3574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4896,3574) = 2

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

GCF(4896,3574) x common factors =2 x 1 = 2

LCM(4896,3574) = ( 4896 × 3574 ) / 2

LCM(4896,3574) = 17498304 / 2

LCM(4896,3574) = 8749152


Lets's calculate GCF of 374,834

2 374, 834
187, 417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8749152/2

Therefore the LCM of Fractions 4896/374,3574/834 is 4374576

Greatest Common Factor of 374,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,834 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 374,834 . The biggest common factor number is the GCF number.
So the greatest common factor 374,834 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 4896/374, 3574/834

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 4896/374, 3574/834?

Answer: LCM of Numerators as per given numbers 4896/374, 3574/834 is

LCM of Numerators i.e. for 4896,3574 is 8749152

GCF of denominators i.e. for 374,834 is 2.

Thus, LCM of Fractions is 4374576.Finally, LCM of Fractions for 4896/374, 3574/834 is 4374576.