Least Common Multiple of 62/40, 314/62, 704/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/40, 314/62, 704/132 quickly i.e. 1713184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/40, 314/62, 704/132 is 1713184.

LCM(62/40, 314/62, 704/132) = 1713184

LCM of 62/40, 314/62, 704/132

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 62/40,314/62,704/132

Given numbers are 62/40,314/62,704/132

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 62,314,704

Least Common Multiple of Numerators i.e. LCM of 62,314,704 is 3426368.

GCF of Denominators means GCF of 40,62,132 as per the given fractions.

GCF of 40,62,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,314,704

LCM of Fractions 62/40,314/62,704/132 is 1713184

2 62, 314, 704
31, 157, 352

∴ So the LCM of the given numbers is 2 x 31 x 157 x 352 = 3426368

Least Common Multiple of 62,314,704 with GCF Formula

Least Common Multiple of 62,314,704 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 62,314,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,314,704) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(62,314,704) x common factors =2 x 2 = 4

LCM(62,314,704) = ( 62 × 314 × 704 ) / 4

LCM(62,314,704) = 13705472 / 4

LCM(62,314,704) = 3426368


Lets's calculate GCF of 40,62,132

2 40, 62, 132
20, 31, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3426368/2

Therefore the LCM of Fractions 62/40,314/62,704/132 is 1713184

Greatest Common Factor of 40,62,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,62,132 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 62

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

1,2,31,62

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 40,62,132 . The biggest common factor number is the GCF number.
So the greatest common factor 40,62,132 is 2.


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 62/40, 314/62, 704/132

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 62/40, 314/62, 704/132?

Answer: LCM of Numerators as per given numbers 62/40, 314/62, 704/132 is

LCM of Numerators i.e. for 62,314,704 is 3426368

GCF of denominators i.e. for 40,62,132 is 2.

Thus, LCM of Fractions is 1713184.Finally, LCM of Fractions for 62/40, 314/62, 704/132 is 1713184.