Least Common Multiple of 715/33, 6500/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/33, 6500/946 quickly i.e. 6500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/33, 6500/946 is 6500.

LCM(715/33, 6500/946) = 6500

LCM of 715/33, 6500/946

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 715/33,6500/946

Given numbers are 715/33,6500/946

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 715,6500

Least Common Multiple of Numerators i.e. LCM of 715,6500 is 71500.

GCF of Denominators means GCF of 33,946 as per the given fractions.

GCF of 33,946 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,6500

LCM of Fractions 715/33,6500/946 is 6500

5 715, 6500
13 143, 1300
11, 100

∴ So the LCM of the given numbers is 5 x 13 x 11 x 100 = 71500

Least Common Multiple of 715,6500 with GCF Formula

Least Common Multiple of 715,6500 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 715,6500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,6500) = 65

common factors(in case of two or more numbers have common factors) = 1

GCF(715,6500) x common factors =65 x 1 = 65

LCM(715,6500) = ( 715 × 6500 ) / 65

LCM(715,6500) = 4647500 / 65

LCM(715,6500) = 71500


Lets's calculate GCF of 33,946

11 33, 946
3, 86

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71500/11

Therefore the LCM of Fractions 715/33,6500/946 is 6500

Greatest Common Factor of 33,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,946 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 33,946 . The biggest common factor number is the GCF number.
So the greatest common factor 33,946 is 11.


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 715/33, 6500/946

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 715/33, 6500/946?

Answer: LCM of Numerators as per given numbers 715/33, 6500/946 is

LCM of Numerators i.e. for 715,6500 is 71500

GCF of denominators i.e. for 33,946 is 11.

Thus, LCM of Fractions is 6500.Finally, LCM of Fractions for 715/33, 6500/946 is 6500.