Least Common Multiple of 5/782, 85/384, 62/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5/782, 85/384, 62/134 quickly i.e. 2635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/782, 85/384, 62/134 is 2635.

LCM(5/782, 85/384, 62/134) = 2635

LCM of 5/782, 85/384, 62/134

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 5/782,85/384,62/134

Given numbers are 5/782,85/384,62/134

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 5,85,62

Least Common Multiple of Numerators i.e. LCM of 5,85,62 is 5270.

GCF of Denominators means GCF of 782,384,134 as per the given fractions.

GCF of 782,384,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,85,62

LCM of Fractions 5/782,85/384,62/134 is 2635

5 5, 85, 62
1, 17, 62

∴ So the LCM of the given numbers is 5 x 1 x 17 x 62 = 5270

Least Common Multiple of 5,85,62 with GCF Formula

Least Common Multiple of 5,85,62 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 5,85,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,85,62) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(5,85,62) x common factors =1 x 5 = 5

LCM(5,85,62) = ( 5 × 85 × 62 ) / 5

LCM(5,85,62) = 26350 / 5

LCM(5,85,62) = 5270


Lets's calculate GCF of 782,384,134

2 782, 384, 134
391, 192, 67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5270/2

Therefore the LCM of Fractions 5/782,85/384,62/134 is 2635

Greatest Common Factor of 782,384,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,384,134 By Matching Biggest Common Factor Method

Factors of 782

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

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

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 782,384,134 . The biggest common factor number is the GCF number.
So the greatest common factor 782,384,134 is 2.


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Frequently Asked Questions on Fractional LCM of 5/782, 85/384, 62/134

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 5/782, 85/384, 62/134?

Answer: LCM of Numerators as per given numbers 5/782, 85/384, 62/134 is

LCM of Numerators i.e. for 5,85,62 is 5270

GCF of denominators i.e. for 782,384,134 is 2.

Thus, LCM of Fractions is 2635.Finally, LCM of Fractions for 5/782, 85/384, 62/134 is 2635.