Least Common Multiple of 628/58, 678/9032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/58, 678/9032 quickly i.e. 106446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/58, 678/9032 is 106446.

LCM(628/58, 678/9032) = 106446

LCM of 628/58, 678/9032

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 628/58,678/9032

Given numbers are 628/58,678/9032

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 628,678

Least Common Multiple of Numerators i.e. LCM of 628,678 is 212892.

GCF of Denominators means GCF of 58,9032 as per the given fractions.

GCF of 58,9032 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,678

LCM of Fractions 628/58,678/9032 is 106446

2 628, 678
314, 339

∴ So the LCM of the given numbers is 2 x 314 x 339 = 212892

Least Common Multiple of 628,678 with GCF Formula

Least Common Multiple of 628,678 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 628,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,678) = 2

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

GCF(628,678) x common factors =2 x 1 = 2

LCM(628,678) = ( 628 × 678 ) / 2

LCM(628,678) = 425784 / 2

LCM(628,678) = 212892


Lets's calculate GCF of 58,9032

2 58, 9032
29, 4516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212892/2

Therefore the LCM of Fractions 628/58,678/9032 is 106446

Greatest Common Factor of 58,9032 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9032 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors 58,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9032 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 628/58, 678/9032

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 628/58, 678/9032?

Answer: LCM of Numerators as per given numbers 628/58, 678/9032 is

LCM of Numerators i.e. for 628,678 is 212892

GCF of denominators i.e. for 58,9032 is 2.

Thus, LCM of Fractions is 106446.Finally, LCM of Fractions for 628/58, 678/9032 is 106446.