Least Common Multiple of 253/682, 7387/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 253/682, 7387/782 quickly i.e. 1868911/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/682, 7387/782 is 1868911/2.

LCM(253/682, 7387/782) = 1868911/2

LCM of 253/682, 7387/782

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 253/682,7387/782

Given numbers are 253/682,7387/782

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 253,7387

Least Common Multiple of Numerators i.e. LCM of 253,7387 is 1868911.

GCF of Denominators means GCF of 682,782 as per the given fractions.

GCF of 682,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,7387

LCM of Fractions 253/682,7387/782 is 1868911/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1868911

Least Common Multiple of 253,7387 with GCF Formula

Least Common Multiple of 253,7387 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 253,7387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,7387) = 1

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

GCF(253,7387) x common factors =1 x 1 = 1

LCM(253,7387) = ( 253 × 7387 ) / 1

LCM(253,7387) = 1868911 / 1

LCM(253,7387) = 1868911


Lets's calculate GCF of 682,782

2 682, 782
341, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1868911/2

Therefore the LCM of Fractions 253/682,7387/782 is 1868911/2

Greatest Common Factor of 682,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,782 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 682,782 . The biggest common factor number is the GCF number.
So the greatest common factor 682,782 is 2.


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Frequently Asked Questions on Fractional LCM of 253/682, 7387/782

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 253/682, 7387/782?

Answer: LCM of Numerators as per given numbers 253/682, 7387/782 is

LCM of Numerators i.e. for 253,7387 is 1868911

GCF of denominators i.e. for 682,782 is 2.

Thus, LCM of Fractions is 1868911/2.Finally, LCM of Fractions for 253/682, 7387/782 is 1868911/2.