Least Common Multiple of 85/736, 69/767, 320/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/736, 69/767, 320/138 quickly i.e. 375360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/736, 69/767, 320/138 is 375360.

LCM(85/736, 69/767, 320/138) = 375360

LCM of 85/736, 69/767, 320/138

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 85/736,69/767,320/138

Given numbers are 85/736,69/767,320/138

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 85,69,320

Least Common Multiple of Numerators i.e. LCM of 85,69,320 is 375360.

GCF of Denominators means GCF of 736,767,138 as per the given fractions.

GCF of 736,767,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,69,320

LCM of Fractions 85/736,69/767,320/138 is 375360

5 85, 69, 320
17, 69, 64

∴ So the LCM of the given numbers is 5 x 17 x 69 x 64 = 375360

Least Common Multiple of 85,69,320 with GCF Formula

Least Common Multiple of 85,69,320 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 85,69,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,69,320) = 1

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

GCF(85,69,320) x common factors =1 x 5 = 5

LCM(85,69,320) = ( 85 × 69 × 320 ) / 5

LCM(85,69,320) = 1876800 / 5

LCM(85,69,320) = 375360


Lets's calculate GCF of 736,767,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375360/1

Therefore the LCM of Fractions 85/736,69/767,320/138 is 375360

Greatest Common Factor of 736,767,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,767,138 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

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 736,767,138 . The biggest common factor number is the GCF number.
So the greatest common factor 736,767,138 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 85/736, 69/767, 320/138

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 85/736, 69/767, 320/138?

Answer: LCM of Numerators as per given numbers 85/736, 69/767, 320/138 is

LCM of Numerators i.e. for 85,69,320 is 375360

GCF of denominators i.e. for 736,767,138 is 1.

Thus, LCM of Fractions is 375360.Finally, LCM of Fractions for 85/736, 69/767, 320/138 is 375360.