Least Common Multiple of 79/860, 275/465, 506/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/860, 275/465, 506/985 quickly i.e. 199870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/860, 275/465, 506/985 is 199870.

LCM(79/860, 275/465, 506/985) = 199870

LCM of 79/860, 275/465, 506/985

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 79/860,275/465,506/985

Given numbers are 79/860,275/465,506/985

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 79,275,506

Least Common Multiple of Numerators i.e. LCM of 79,275,506 is 999350.

GCF of Denominators means GCF of 860,465,985 as per the given fractions.

GCF of 860,465,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,275,506

LCM of Fractions 79/860,275/465,506/985 is 199870

11 79, 275, 506
79, 25, 46

∴ So the LCM of the given numbers is 11 x 79 x 25 x 46 = 999350

Least Common Multiple of 79,275,506 with GCF Formula

Least Common Multiple of 79,275,506 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 79,275,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,275,506) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(79,275,506) x common factors =1 x 11 = 11

LCM(79,275,506) = ( 79 × 275 × 506 ) / 11

LCM(79,275,506) = 10992850 / 11

LCM(79,275,506) = 999350


Lets's calculate GCF of 860,465,985

5 860, 465, 985
172, 93, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 999350/5

Therefore the LCM of Fractions 79/860,275/465,506/985 is 199870

Greatest Common Factor of 860,465,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,465,985 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 860,465,985 . The biggest common factor number is the GCF number.
So the greatest common factor 860,465,985 is 5.


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 79/860, 275/465, 506/985

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 79/860, 275/465, 506/985?

Answer: LCM of Numerators as per given numbers 79/860, 275/465, 506/985 is

LCM of Numerators i.e. for 79,275,506 is 999350

GCF of denominators i.e. for 860,465,985 is 5.

Thus, LCM of Fractions is 199870.Finally, LCM of Fractions for 79/860, 275/465, 506/985 is 199870.