Least Common Multiple of 771/89, 140/35, 864/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/89, 140/35, 864/362 quickly i.e. 7771680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/89, 140/35, 864/362 is 7771680.

LCM(771/89, 140/35, 864/362) = 7771680

LCM of 771/89, 140/35, 864/362

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 771/89,140/35,864/362

Given numbers are 771/89,140/35,864/362

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 771,140,864

Least Common Multiple of Numerators i.e. LCM of 771,140,864 is 7771680.

GCF of Denominators means GCF of 89,35,362 as per the given fractions.

GCF of 89,35,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,140,864

LCM of Fractions 771/89,140/35,864/362 is 7771680

2 771, 140, 864
2 771, 70, 432
3 771, 35, 216
257, 35, 72

∴ So the LCM of the given numbers is 2 x 2 x 3 x 257 x 35 x 72 = 7771680

Least Common Multiple of 771,140,864 with GCF Formula

Least Common Multiple of 771,140,864 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 771,140,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,140,864) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(771,140,864) x common factors =1 x 12 = 12

LCM(771,140,864) = ( 771 × 140 × 864 ) / 12

LCM(771,140,864) = 93260160 / 12

LCM(771,140,864) = 7771680


Lets's calculate GCF of 89,35,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7771680/1

Therefore the LCM of Fractions 771/89,140/35,864/362 is 7771680

Greatest Common Factor of 89,35,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,35,362 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 35

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

1,5,7,35

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 89,35,362 . The biggest common factor number is the GCF number.
So the greatest common factor 89,35,362 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 771/89, 140/35, 864/362

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 771/89, 140/35, 864/362?

Answer: LCM of Numerators as per given numbers 771/89, 140/35, 864/362 is

LCM of Numerators i.e. for 771,140,864 is 7771680

GCF of denominators i.e. for 89,35,362 is 1.

Thus, LCM of Fractions is 7771680.Finally, LCM of Fractions for 771/89, 140/35, 864/362 is 7771680.