Least Common Multiple of 780/97, 702/59, 365/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/97, 702/59, 365/931 quickly i.e. 512460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/97, 702/59, 365/931 is 512460.

LCM(780/97, 702/59, 365/931) = 512460

LCM of 780/97, 702/59, 365/931

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 780/97,702/59,365/931

Given numbers are 780/97,702/59,365/931

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 780,702,365

Least Common Multiple of Numerators i.e. LCM of 780,702,365 is 512460.

GCF of Denominators means GCF of 97,59,931 as per the given fractions.

GCF of 97,59,931 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,702,365

LCM of Fractions 780/97,702/59,365/931 is 512460

2 780, 702, 365
3 390, 351, 365
5 130, 117, 365
13 26, 117, 73
2, 9, 73

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 2 x 9 x 73 = 512460

Least Common Multiple of 780,702,365 with GCF Formula

Least Common Multiple of 780,702,365 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 780,702,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,702,365) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(780,702,365) x common factors =1 x 390 = 390

LCM(780,702,365) = ( 780 × 702 × 365 ) / 390

LCM(780,702,365) = 199859400 / 390

LCM(780,702,365) = 512460


Lets's calculate GCF of 97,59,931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512460/1

Therefore the LCM of Fractions 780/97,702/59,365/931 is 512460

Greatest Common Factor of 97,59,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,59,931 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 97,59,931 . The biggest common factor number is the GCF number.
So the greatest common factor 97,59,931 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 780/97, 702/59, 365/931

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 780/97, 702/59, 365/931?

Answer: LCM of Numerators as per given numbers 780/97, 702/59, 365/931 is

LCM of Numerators i.e. for 780,702,365 is 512460

GCF of denominators i.e. for 97,59,931 is 1.

Thus, LCM of Fractions is 512460.Finally, LCM of Fractions for 780/97, 702/59, 365/931 is 512460.