Least Common Multiple of 782/62, 364/58, 704/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/62, 364/58, 704/67 quickly i.e. 25049024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/62, 364/58, 704/67 is 25049024.

LCM(782/62, 364/58, 704/67) = 25049024

LCM of 782/62, 364/58, 704/67

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 782/62,364/58,704/67

Given numbers are 782/62,364/58,704/67

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 782,364,704

Least Common Multiple of Numerators i.e. LCM of 782,364,704 is 25049024.

GCF of Denominators means GCF of 62,58,67 as per the given fractions.

GCF of 62,58,67 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,364,704

LCM of Fractions 782/62,364/58,704/67 is 25049024

2 782, 364, 704
2 391, 182, 352
391, 91, 176

∴ So the LCM of the given numbers is 2 x 2 x 391 x 91 x 176 = 25049024

Least Common Multiple of 782,364,704 with GCF Formula

Least Common Multiple of 782,364,704 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 782,364,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,364,704) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(782,364,704) x common factors =2 x 4 = 8

LCM(782,364,704) = ( 782 × 364 × 704 ) / 8

LCM(782,364,704) = 200392192 / 8

LCM(782,364,704) = 25049024


Lets's calculate GCF of 62,58,67

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25049024/1

Therefore the LCM of Fractions 782/62,364/58,704/67 is 25049024

Greatest Common Factor of 62,58,67 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,58,67 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 58

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

1,2,29,58

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Greatest Common Factor

We found the factors 62,58,67 . The biggest common factor number is the GCF number.
So the greatest common factor 62,58,67 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 782/62, 364/58, 704/67

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 782/62, 364/58, 704/67?

Answer: LCM of Numerators as per given numbers 782/62, 364/58, 704/67 is

LCM of Numerators i.e. for 782,364,704 is 25049024

GCF of denominators i.e. for 62,58,67 is 1.

Thus, LCM of Fractions is 25049024.Finally, LCM of Fractions for 782/62, 364/58, 704/67 is 25049024.