Least Common Multiple of 340/762, 862/464, 719/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/762, 862/464, 719/715 quickly i.e. 105362260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/762, 862/464, 719/715 is 105362260.

LCM(340/762, 862/464, 719/715) = 105362260

LCM of 340/762, 862/464, 719/715

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 340/762,862/464,719/715

Given numbers are 340/762,862/464,719/715

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 340,862,719

Least Common Multiple of Numerators i.e. LCM of 340,862,719 is 105362260.

GCF of Denominators means GCF of 762,464,715 as per the given fractions.

GCF of 762,464,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,862,719

LCM of Fractions 340/762,862/464,719/715 is 105362260

2 340, 862, 719
170, 431, 719

∴ So the LCM of the given numbers is 2 x 170 x 431 x 719 = 105362260

Least Common Multiple of 340,862,719 with GCF Formula

Least Common Multiple of 340,862,719 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 340,862,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,862,719) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(340,862,719) x common factors =1 x 2 = 2

LCM(340,862,719) = ( 340 × 862 × 719 ) / 2

LCM(340,862,719) = 210724520 / 2

LCM(340,862,719) = 105362260


Lets's calculate GCF of 762,464,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105362260/1

Therefore the LCM of Fractions 340/762,862/464,719/715 is 105362260

Greatest Common Factor of 762,464,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,464,715 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 762,464,715 . The biggest common factor number is the GCF number.
So the greatest common factor 762,464,715 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 340/762, 862/464, 719/715

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 340/762, 862/464, 719/715?

Answer: LCM of Numerators as per given numbers 340/762, 862/464, 719/715 is

LCM of Numerators i.e. for 340,862,719 is 105362260

GCF of denominators i.e. for 762,464,715 is 1.

Thus, LCM of Fractions is 105362260.Finally, LCM of Fractions for 340/762, 862/464, 719/715 is 105362260.