Least Common Multiple of 56/74, 74/602, 629/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/74, 74/602, 629/812 quickly i.e. 17612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/74, 74/602, 629/812 is 17612.

LCM(56/74, 74/602, 629/812) = 17612

LCM of 56/74, 74/602, 629/812

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 56/74,74/602,629/812

Given numbers are 56/74,74/602,629/812

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 56,74,629

Least Common Multiple of Numerators i.e. LCM of 56,74,629 is 35224.

GCF of Denominators means GCF of 74,602,812 as per the given fractions.

GCF of 74,602,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,74,629

LCM of Fractions 56/74,74/602,629/812 is 17612

2 56, 74, 629
37 28, 37, 629
28, 1, 17

∴ So the LCM of the given numbers is 2 x 37 x 28 x 1 x 17 = 35224

Least Common Multiple of 56,74,629 with GCF Formula

Least Common Multiple of 56,74,629 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 56,74,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,74,629) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(56,74,629) x common factors =1 x 74 = 74

LCM(56,74,629) = ( 56 × 74 × 629 ) / 74

LCM(56,74,629) = 2606576 / 74

LCM(56,74,629) = 35224


Lets's calculate GCF of 74,602,812

2 74, 602, 812
37, 301, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35224/2

Therefore the LCM of Fractions 56/74,74/602,629/812 is 17612

Greatest Common Factor of 74,602,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,602,812 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 74,602,812 . The biggest common factor number is the GCF number.
So the greatest common factor 74,602,812 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 56/74, 74/602, 629/812

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 56/74, 74/602, 629/812?

Answer: LCM of Numerators as per given numbers 56/74, 74/602, 629/812 is

LCM of Numerators i.e. for 56,74,629 is 35224

GCF of denominators i.e. for 74,602,812 is 2.

Thus, LCM of Fractions is 17612.Finally, LCM of Fractions for 56/74, 74/602, 629/812 is 17612.