Least Common Multiple of 960/85, 745/35, 713/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/85, 745/35, 713/762 quickly i.e. 101987520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/85, 745/35, 713/762 is 101987520.

LCM(960/85, 745/35, 713/762) = 101987520

LCM of 960/85, 745/35, 713/762

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 960/85,745/35,713/762

Given numbers are 960/85,745/35,713/762

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 960,745,713

Least Common Multiple of Numerators i.e. LCM of 960,745,713 is 101987520.

GCF of Denominators means GCF of 85,35,762 as per the given fractions.

GCF of 85,35,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,745,713

LCM of Fractions 960/85,745/35,713/762 is 101987520

5 960, 745, 713
192, 149, 713

∴ So the LCM of the given numbers is 5 x 192 x 149 x 713 = 101987520

Least Common Multiple of 960,745,713 with GCF Formula

Least Common Multiple of 960,745,713 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 960,745,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,745,713) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(960,745,713) x common factors =1 x 5 = 5

LCM(960,745,713) = ( 960 × 745 × 713 ) / 5

LCM(960,745,713) = 509937600 / 5

LCM(960,745,713) = 101987520


Lets's calculate GCF of 85,35,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101987520/1

Therefore the LCM of Fractions 960/85,745/35,713/762 is 101987520

Greatest Common Factor of 85,35,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,35,762 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 85,35,762 . The biggest common factor number is the GCF number.
So the greatest common factor 85,35,762 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 960/85, 745/35, 713/762

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 960/85, 745/35, 713/762?

Answer: LCM of Numerators as per given numbers 960/85, 745/35, 713/762 is

LCM of Numerators i.e. for 960,745,713 is 101987520

GCF of denominators i.e. for 85,35,762 is 1.

Thus, LCM of Fractions is 101987520.Finally, LCM of Fractions for 960/85, 745/35, 713/762 is 101987520.