Least Common Multiple of 745/86, 780/8351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/86, 780/8351 quickly i.e. 116220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/86, 780/8351 is 116220.

LCM(745/86, 780/8351) = 116220

LCM of 745/86, 780/8351

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 745/86,780/8351

Given numbers are 745/86,780/8351

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 745,780

Least Common Multiple of Numerators i.e. LCM of 745,780 is 116220.

GCF of Denominators means GCF of 86,8351 as per the given fractions.

GCF of 86,8351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,780

LCM of Fractions 745/86,780/8351 is 116220

5 745, 780
149, 156

∴ So the LCM of the given numbers is 5 x 149 x 156 = 116220

Least Common Multiple of 745,780 with GCF Formula

Least Common Multiple of 745,780 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 745,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,780) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(745,780) x common factors =5 x 1 = 5

LCM(745,780) = ( 745 × 780 ) / 5

LCM(745,780) = 581100 / 5

LCM(745,780) = 116220


Lets's calculate GCF of 86,8351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116220/1

Therefore the LCM of Fractions 745/86,780/8351 is 116220

Greatest Common Factor of 86,8351 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,8351 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1,7,1193,8351

Greatest Common Factor

We found the factors 86,8351 . The biggest common factor number is the GCF number.
So the greatest common factor 86,8351 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 745/86, 780/8351

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 745/86, 780/8351?

Answer: LCM of Numerators as per given numbers 745/86, 780/8351 is

LCM of Numerators i.e. for 745,780 is 116220

GCF of denominators i.e. for 86,8351 is 1.

Thus, LCM of Fractions is 116220.Finally, LCM of Fractions for 745/86, 780/8351 is 116220.