Least Common Multiple of 58/746, 96/354, 980/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/746, 96/354, 980/617 quickly i.e. 682080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/746, 96/354, 980/617 is 682080.

LCM(58/746, 96/354, 980/617) = 682080

LCM of 58/746, 96/354, 980/617

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 58/746,96/354,980/617

Given numbers are 58/746,96/354,980/617

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 58,96,980

Least Common Multiple of Numerators i.e. LCM of 58,96,980 is 682080.

GCF of Denominators means GCF of 746,354,617 as per the given fractions.

GCF of 746,354,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,96,980

LCM of Fractions 58/746,96/354,980/617 is 682080

2 58, 96, 980
2 29, 48, 490
29, 24, 245

∴ So the LCM of the given numbers is 2 x 2 x 29 x 24 x 245 = 682080

Least Common Multiple of 58,96,980 with GCF Formula

Least Common Multiple of 58,96,980 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 58,96,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,96,980) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,96,980) x common factors =2 x 4 = 8

LCM(58,96,980) = ( 58 × 96 × 980 ) / 8

LCM(58,96,980) = 5456640 / 8

LCM(58,96,980) = 682080


Lets's calculate GCF of 746,354,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 682080/1

Therefore the LCM of Fractions 58/746,96/354,980/617 is 682080

Greatest Common Factor of 746,354,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,354,617 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 746,354,617 . The biggest common factor number is the GCF number.
So the greatest common factor 746,354,617 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 58/746, 96/354, 980/617

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 58/746, 96/354, 980/617?

Answer: LCM of Numerators as per given numbers 58/746, 96/354, 980/617 is

LCM of Numerators i.e. for 58,96,980 is 682080

GCF of denominators i.e. for 746,354,617 is 1.

Thus, LCM of Fractions is 682080.Finally, LCM of Fractions for 58/746, 96/354, 980/617 is 682080.