Least Common Multiple of 65/83, 90/70, 971/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/83, 90/70, 971/753 quickly i.e. 1136070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/83, 90/70, 971/753 is 1136070.

LCM(65/83, 90/70, 971/753) = 1136070

LCM of 65/83, 90/70, 971/753

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 65/83,90/70,971/753

Given numbers are 65/83,90/70,971/753

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 65,90,971

Least Common Multiple of Numerators i.e. LCM of 65,90,971 is 1136070.

GCF of Denominators means GCF of 83,70,753 as per the given fractions.

GCF of 83,70,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,90,971

LCM of Fractions 65/83,90/70,971/753 is 1136070

5 65, 90, 971
13, 18, 971

∴ So the LCM of the given numbers is 5 x 13 x 18 x 971 = 1136070

Least Common Multiple of 65,90,971 with GCF Formula

Least Common Multiple of 65,90,971 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 65,90,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,90,971) = 1

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

GCF(65,90,971) x common factors =1 x 5 = 5

LCM(65,90,971) = ( 65 × 90 × 971 ) / 5

LCM(65,90,971) = 5680350 / 5

LCM(65,90,971) = 1136070


Lets's calculate GCF of 83,70,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1136070/1

Therefore the LCM of Fractions 65/83,90/70,971/753 is 1136070

Greatest Common Factor of 83,70,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,70,753 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 83,70,753 . The biggest common factor number is the GCF number.
So the greatest common factor 83,70,753 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 65/83, 90/70, 971/753

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 65/83, 90/70, 971/753?

Answer: LCM of Numerators as per given numbers 65/83, 90/70, 971/753 is

LCM of Numerators i.e. for 65,90,971 is 1136070

GCF of denominators i.e. for 83,70,753 is 1.

Thus, LCM of Fractions is 1136070.Finally, LCM of Fractions for 65/83, 90/70, 971/753 is 1136070.