Least Common Multiple of 10/719, 312/942, 654/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/719, 312/942, 654/750 quickly i.e. 170040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/719, 312/942, 654/750 is 170040.

LCM(10/719, 312/942, 654/750) = 170040

LCM of 10/719, 312/942, 654/750

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 10/719,312/942,654/750

Given numbers are 10/719,312/942,654/750

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 10,312,654

Least Common Multiple of Numerators i.e. LCM of 10,312,654 is 170040.

GCF of Denominators means GCF of 719,942,750 as per the given fractions.

GCF of 719,942,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,312,654

LCM of Fractions 10/719,312/942,654/750 is 170040

2 10, 312, 654
3 5, 156, 327
5, 52, 109

∴ So the LCM of the given numbers is 2 x 3 x 5 x 52 x 109 = 170040

Least Common Multiple of 10,312,654 with GCF Formula

Least Common Multiple of 10,312,654 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 10,312,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,312,654) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(10,312,654) x common factors =2 x 6 = 12

LCM(10,312,654) = ( 10 × 312 × 654 ) / 12

LCM(10,312,654) = 2040480 / 12

LCM(10,312,654) = 170040


Lets's calculate GCF of 719,942,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170040/1

Therefore the LCM of Fractions 10/719,312/942,654/750 is 170040

Greatest Common Factor of 719,942,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,942,750 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 719,942,750 . The biggest common factor number is the GCF number.
So the greatest common factor 719,942,750 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 10/719, 312/942, 654/750

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 10/719, 312/942, 654/750?

Answer: LCM of Numerators as per given numbers 10/719, 312/942, 654/750 is

LCM of Numerators i.e. for 10,312,654 is 170040

GCF of denominators i.e. for 719,942,750 is 1.

Thus, LCM of Fractions is 170040.Finally, LCM of Fractions for 10/719, 312/942, 654/750 is 170040.