Least Common Multiple of 58/780, 146/398, 336/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/780, 146/398, 336/665 quickly i.e. 711312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/780, 146/398, 336/665 is 711312.

LCM(58/780, 146/398, 336/665) = 711312

LCM of 58/780, 146/398, 336/665

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 58/780,146/398,336/665

Given numbers are 58/780,146/398,336/665

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 58,146,336

Least Common Multiple of Numerators i.e. LCM of 58,146,336 is 711312.

GCF of Denominators means GCF of 780,398,665 as per the given fractions.

GCF of 780,398,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,146,336

LCM of Fractions 58/780,146/398,336/665 is 711312

2 58, 146, 336
29, 73, 168

∴ So the LCM of the given numbers is 2 x 29 x 73 x 168 = 711312

Least Common Multiple of 58,146,336 with GCF Formula

Least Common Multiple of 58,146,336 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 58,146,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,146,336) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,146,336) x common factors =2 x 2 = 4

LCM(58,146,336) = ( 58 × 146 × 336 ) / 4

LCM(58,146,336) = 2845248 / 4

LCM(58,146,336) = 711312


Lets's calculate GCF of 780,398,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711312/1

Therefore the LCM of Fractions 58/780,146/398,336/665 is 711312

Greatest Common Factor of 780,398,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,398,665 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 780,398,665 . The biggest common factor number is the GCF number.
So the greatest common factor 780,398,665 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 58/780, 146/398, 336/665

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 58/780, 146/398, 336/665?

Answer: LCM of Numerators as per given numbers 58/780, 146/398, 336/665 is

LCM of Numerators i.e. for 58,146,336 is 711312

GCF of denominators i.e. for 780,398,665 is 1.

Thus, LCM of Fractions is 711312.Finally, LCM of Fractions for 58/780, 146/398, 336/665 is 711312.