Least Common Multiple of 1058/567, 7489/1634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1058/567, 7489/1634 quickly i.e. 7923362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1058/567, 7489/1634 is 7923362.

LCM(1058/567, 7489/1634) = 7923362

LCM of 1058/567, 7489/1634

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 1058/567,7489/1634

Given numbers are 1058/567,7489/1634

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 1058,7489

Least Common Multiple of Numerators i.e. LCM of 1058,7489 is 7923362.

GCF of Denominators means GCF of 567,1634 as per the given fractions.

GCF of 567,1634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1058,7489

LCM of Fractions 1058/567,7489/1634 is 7923362

Given numbers has no common factors except 1. So, there LCM is their product i.e 7923362

Least Common Multiple of 1058,7489 with GCF Formula

Least Common Multiple of 1058,7489 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 1058,7489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1058,7489) = 1

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

GCF(1058,7489) x common factors =1 x 1 = 1

LCM(1058,7489) = ( 1058 × 7489 ) / 1

LCM(1058,7489) = 7923362 / 1

LCM(1058,7489) = 7923362


Lets's calculate GCF of 567,1634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7923362/1

Therefore the LCM of Fractions 1058/567,7489/1634 is 7923362

Greatest Common Factor of 567,1634 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,1634 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1,2,19,38,43,86,817,1634

Greatest Common Factor

We found the factors 567,1634 . The biggest common factor number is the GCF number.
So the greatest common factor 567,1634 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 1058/567, 7489/1634

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 1058/567, 7489/1634?

Answer: LCM of Numerators as per given numbers 1058/567, 7489/1634 is

LCM of Numerators i.e. for 1058,7489 is 7923362

GCF of denominators i.e. for 567,1634 is 1.

Thus, LCM of Fractions is 7923362.Finally, LCM of Fractions for 1058/567, 7489/1634 is 7923362.