Least Common Multiple of 70/814, 390/840, 168/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/814, 390/840, 168/715 quickly i.e. 10920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/814, 390/840, 168/715 is 10920.

LCM(70/814, 390/840, 168/715) = 10920

LCM of 70/814, 390/840, 168/715

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 70/814,390/840,168/715

Given numbers are 70/814,390/840,168/715

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 70,390,168

Least Common Multiple of Numerators i.e. LCM of 70,390,168 is 10920.

GCF of Denominators means GCF of 814,840,715 as per the given fractions.

GCF of 814,840,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,390,168

LCM of Fractions 70/814,390/840,168/715 is 10920

2 70, 390, 168
3 35, 195, 84
5 35, 65, 28
7 7, 13, 28
1, 13, 4

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 13 x 4 = 10920

Least Common Multiple of 70,390,168 with GCF Formula

Least Common Multiple of 70,390,168 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 70,390,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,390,168) = 2

common factors(in case of two or more numbers have common factors) = 210

GCF(70,390,168) x common factors =2 x 210 = 420

LCM(70,390,168) = ( 70 × 390 × 168 ) / 420

LCM(70,390,168) = 4586400 / 420

LCM(70,390,168) = 10920


Lets's calculate GCF of 814,840,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10920/1

Therefore the LCM of Fractions 70/814,390/840,168/715 is 10920

Greatest Common Factor of 814,840,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,840,715 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

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 814,840,715 . The biggest common factor number is the GCF number.
So the greatest common factor 814,840,715 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 70/814, 390/840, 168/715

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 70/814, 390/840, 168/715?

Answer: LCM of Numerators as per given numbers 70/814, 390/840, 168/715 is

LCM of Numerators i.e. for 70,390,168 is 10920

GCF of denominators i.e. for 814,840,715 is 1.

Thus, LCM of Fractions is 10920.Finally, LCM of Fractions for 70/814, 390/840, 168/715 is 10920.