Least Common Multiple of 358/582, 7003/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 358/582, 7003/534 quickly i.e. 2507074/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/582, 7003/534 is 2507074/6.

LCM(358/582, 7003/534) = 2507074/6

LCM of 358/582, 7003/534

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 358/582,7003/534

Given numbers are 358/582,7003/534

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 358,7003

Least Common Multiple of Numerators i.e. LCM of 358,7003 is 2507074.

GCF of Denominators means GCF of 582,534 as per the given fractions.

GCF of 582,534 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,7003

LCM of Fractions 358/582,7003/534 is 2507074/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 2507074

Least Common Multiple of 358,7003 with GCF Formula

Least Common Multiple of 358,7003 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 358,7003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,7003) = 1

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

GCF(358,7003) x common factors =1 x 1 = 1

LCM(358,7003) = ( 358 × 7003 ) / 1

LCM(358,7003) = 2507074 / 1

LCM(358,7003) = 2507074


Lets's calculate GCF of 582,534

2 582, 534
3 291, 267
97, 89

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2507074/6

Therefore the LCM of Fractions 358/582,7003/534 is 2507074/6

Greatest Common Factor of 582,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,534 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 582,534 . The biggest common factor number is the GCF number.
So the greatest common factor 582,534 is 6.


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Frequently Asked Questions on Fractional LCM of 358/582, 7003/534

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 358/582, 7003/534?

Answer: LCM of Numerators as per given numbers 358/582, 7003/534 is

LCM of Numerators i.e. for 358,7003 is 2507074

GCF of denominators i.e. for 582,534 is 6.

Thus, LCM of Fractions is 2507074/6.Finally, LCM of Fractions for 358/582, 7003/534 is 2507074/6.