Least Common Multiple of 745/65, 906/56, 616/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/65, 906/56, 616/138 quickly i.e. 207890760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/65, 906/56, 616/138 is 207890760.

LCM(745/65, 906/56, 616/138) = 207890760

LCM of 745/65, 906/56, 616/138

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 745/65,906/56,616/138

Given numbers are 745/65,906/56,616/138

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 745,906,616

Least Common Multiple of Numerators i.e. LCM of 745,906,616 is 207890760.

GCF of Denominators means GCF of 65,56,138 as per the given fractions.

GCF of 65,56,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,906,616

LCM of Fractions 745/65,906/56,616/138 is 207890760

2 745, 906, 616
745, 453, 308

∴ So the LCM of the given numbers is 2 x 745 x 453 x 308 = 207890760

Least Common Multiple of 745,906,616 with GCF Formula

Least Common Multiple of 745,906,616 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 745,906,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,906,616) = 1

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

GCF(745,906,616) x common factors =1 x 2 = 2

LCM(745,906,616) = ( 745 × 906 × 616 ) / 2

LCM(745,906,616) = 415781520 / 2

LCM(745,906,616) = 207890760


Lets's calculate GCF of 65,56,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207890760/1

Therefore the LCM of Fractions 745/65,906/56,616/138 is 207890760

Greatest Common Factor of 65,56,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,56,138 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 65,56,138 . The biggest common factor number is the GCF number.
So the greatest common factor 65,56,138 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 745/65, 906/56, 616/138

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 745/65, 906/56, 616/138?

Answer: LCM of Numerators as per given numbers 745/65, 906/56, 616/138 is

LCM of Numerators i.e. for 745,906,616 is 207890760

GCF of denominators i.e. for 65,56,138 is 1.

Thus, LCM of Fractions is 207890760.Finally, LCM of Fractions for 745/65, 906/56, 616/138 is 207890760.