Least Common Multiple of 760/407, 771/889, 414/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/407, 771/889, 414/875 quickly i.e. 40431240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/407, 771/889, 414/875 is 40431240.

LCM(760/407, 771/889, 414/875) = 40431240

LCM of 760/407, 771/889, 414/875

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 760/407,771/889,414/875

Given numbers are 760/407,771/889,414/875

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 760,771,414

Least Common Multiple of Numerators i.e. LCM of 760,771,414 is 40431240.

GCF of Denominators means GCF of 407,889,875 as per the given fractions.

GCF of 407,889,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,771,414

LCM of Fractions 760/407,771/889,414/875 is 40431240

2 760, 771, 414
3 380, 771, 207
380, 257, 69

∴ So the LCM of the given numbers is 2 x 3 x 380 x 257 x 69 = 40431240

Least Common Multiple of 760,771,414 with GCF Formula

Least Common Multiple of 760,771,414 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 760,771,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,771,414) = 1

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

GCF(760,771,414) x common factors =1 x 6 = 6

LCM(760,771,414) = ( 760 × 771 × 414 ) / 6

LCM(760,771,414) = 242587440 / 6

LCM(760,771,414) = 40431240


Lets's calculate GCF of 407,889,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40431240/1

Therefore the LCM of Fractions 760/407,771/889,414/875 is 40431240

Greatest Common Factor of 407,889,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,889,875 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 407,889,875 . The biggest common factor number is the GCF number.
So the greatest common factor 407,889,875 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 760/407, 771/889, 414/875

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 760/407, 771/889, 414/875?

Answer: LCM of Numerators as per given numbers 760/407, 771/889, 414/875 is

LCM of Numerators i.e. for 760,771,414 is 40431240

GCF of denominators i.e. for 407,889,875 is 1.

Thus, LCM of Fractions is 40431240.Finally, LCM of Fractions for 760/407, 771/889, 414/875 is 40431240.