Least Common Multiple of 78/154, 586/518, 516/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/154, 586/518, 516/925 quickly i.e. 1965444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/154, 586/518, 516/925 is 1965444.

LCM(78/154, 586/518, 516/925) = 1965444

LCM of 78/154, 586/518, 516/925

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 78/154,586/518,516/925

Given numbers are 78/154,586/518,516/925

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 78,586,516

Least Common Multiple of Numerators i.e. LCM of 78,586,516 is 1965444.

GCF of Denominators means GCF of 154,518,925 as per the given fractions.

GCF of 154,518,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,586,516

LCM of Fractions 78/154,586/518,516/925 is 1965444

2 78, 586, 516
3 39, 293, 258
13, 293, 86

∴ So the LCM of the given numbers is 2 x 3 x 13 x 293 x 86 = 1965444

Least Common Multiple of 78,586,516 with GCF Formula

Least Common Multiple of 78,586,516 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 78,586,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,586,516) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,586,516) x common factors =2 x 6 = 12

LCM(78,586,516) = ( 78 × 586 × 516 ) / 12

LCM(78,586,516) = 23585328 / 12

LCM(78,586,516) = 1965444


Lets's calculate GCF of 154,518,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1965444/1

Therefore the LCM of Fractions 78/154,586/518,516/925 is 1965444

Greatest Common Factor of 154,518,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,518,925 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 154,518,925 . The biggest common factor number is the GCF number.
So the greatest common factor 154,518,925 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 78/154, 586/518, 516/925

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 78/154, 586/518, 516/925?

Answer: LCM of Numerators as per given numbers 78/154, 586/518, 516/925 is

LCM of Numerators i.e. for 78,586,516 is 1965444

GCF of denominators i.e. for 154,518,925 is 1.

Thus, LCM of Fractions is 1965444.Finally, LCM of Fractions for 78/154, 586/518, 516/925 is 1965444.