Least Common Multiple of 32/713, 455/235, 980/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/713, 455/235, 980/736 quickly i.e. 101920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/713, 455/235, 980/736 is 101920.

LCM(32/713, 455/235, 980/736) = 101920

LCM of 32/713, 455/235, 980/736

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 32/713,455/235,980/736

Given numbers are 32/713,455/235,980/736

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 32,455,980

Least Common Multiple of Numerators i.e. LCM of 32,455,980 is 101920.

GCF of Denominators means GCF of 713,235,736 as per the given fractions.

GCF of 713,235,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,455,980

LCM of Fractions 32/713,455/235,980/736 is 101920

2 32, 455, 980
2 16, 455, 490
5 8, 455, 245
7 8, 91, 49
8, 13, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 8 x 13 x 7 = 101920

Least Common Multiple of 32,455,980 with GCF Formula

Least Common Multiple of 32,455,980 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 32,455,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,455,980) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(32,455,980) x common factors =1 x 140 = 140

LCM(32,455,980) = ( 32 × 455 × 980 ) / 140

LCM(32,455,980) = 14268800 / 140

LCM(32,455,980) = 101920


Lets's calculate GCF of 713,235,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101920/1

Therefore the LCM of Fractions 32/713,455/235,980/736 is 101920

Greatest Common Factor of 713,235,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,235,736 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 713,235,736 . The biggest common factor number is the GCF number.
So the greatest common factor 713,235,736 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 32/713, 455/235, 980/736

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 32/713, 455/235, 980/736?

Answer: LCM of Numerators as per given numbers 32/713, 455/235, 980/736 is

LCM of Numerators i.e. for 32,455,980 is 101920

GCF of denominators i.e. for 713,235,736 is 1.

Thus, LCM of Fractions is 101920.Finally, LCM of Fractions for 32/713, 455/235, 980/736 is 101920.