Least Common Multiple of 210/860, 406/423, 616/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/860, 406/423, 616/508 quickly i.e. 267960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/860, 406/423, 616/508 is 267960.

LCM(210/860, 406/423, 616/508) = 267960

LCM of 210/860, 406/423, 616/508

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 210/860,406/423,616/508

Given numbers are 210/860,406/423,616/508

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 210,406,616

Least Common Multiple of Numerators i.e. LCM of 210,406,616 is 267960.

GCF of Denominators means GCF of 860,423,508 as per the given fractions.

GCF of 860,423,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,406,616

LCM of Fractions 210/860,406/423,616/508 is 267960

2 210, 406, 616
7 105, 203, 308
15, 29, 44

∴ So the LCM of the given numbers is 2 x 7 x 15 x 29 x 44 = 267960

Least Common Multiple of 210,406,616 with GCF Formula

Least Common Multiple of 210,406,616 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 210,406,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,406,616) = 14

common factors(in case of two or more numbers have common factors) = 14

GCF(210,406,616) x common factors =14 x 14 = 196

LCM(210,406,616) = ( 210 × 406 × 616 ) / 196

LCM(210,406,616) = 52520160 / 196

LCM(210,406,616) = 267960


Lets's calculate GCF of 860,423,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267960/1

Therefore the LCM of Fractions 210/860,406/423,616/508 is 267960

Greatest Common Factor of 860,423,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,423,508 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 860,423,508 . The biggest common factor number is the GCF number.
So the greatest common factor 860,423,508 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 210/860, 406/423, 616/508

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 210/860, 406/423, 616/508?

Answer: LCM of Numerators as per given numbers 210/860, 406/423, 616/508 is

LCM of Numerators i.e. for 210,406,616 is 267960

GCF of denominators i.e. for 860,423,508 is 1.

Thus, LCM of Fractions is 267960.Finally, LCM of Fractions for 210/860, 406/423, 616/508 is 267960.