Least Common Multiple of 32/674, 30/346, 474/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/674, 30/346, 474/748 quickly i.e. 18960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/674, 30/346, 474/748 is 18960.

LCM(32/674, 30/346, 474/748) = 18960

LCM of 32/674, 30/346, 474/748

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 32/674,30/346,474/748

Given numbers are 32/674,30/346,474/748

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 32,30,474

Least Common Multiple of Numerators i.e. LCM of 32,30,474 is 37920.

GCF of Denominators means GCF of 674,346,748 as per the given fractions.

GCF of 674,346,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,30,474

LCM of Fractions 32/674,30/346,474/748 is 18960

2 32, 30, 474
3 16, 15, 237
16, 5, 79

∴ So the LCM of the given numbers is 2 x 3 x 16 x 5 x 79 = 37920

Least Common Multiple of 32,30,474 with GCF Formula

Least Common Multiple of 32,30,474 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 32,30,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,30,474) = 2

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

GCF(32,30,474) x common factors =2 x 6 = 12

LCM(32,30,474) = ( 32 × 30 × 474 ) / 12

LCM(32,30,474) = 455040 / 12

LCM(32,30,474) = 37920


Lets's calculate GCF of 674,346,748

2 674, 346, 748
337, 173, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37920/2

Therefore the LCM of Fractions 32/674,30/346,474/748 is 18960

Greatest Common Factor of 674,346,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,346,748 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 674,346,748 . The biggest common factor number is the GCF number.
So the greatest common factor 674,346,748 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 32/674, 30/346, 474/748

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 32/674, 30/346, 474/748?

Answer: LCM of Numerators as per given numbers 32/674, 30/346, 474/748 is

LCM of Numerators i.e. for 32,30,474 is 37920

GCF of denominators i.e. for 674,346,748 is 2.

Thus, LCM of Fractions is 18960.Finally, LCM of Fractions for 32/674, 30/346, 474/748 is 18960.