Least Common Multiple of 2668/508, 1560/1420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2668/508, 1560/1420 quickly i.e. 260130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2668/508, 1560/1420 is 260130.

LCM(2668/508, 1560/1420) = 260130

LCM of 2668/508, 1560/1420

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 2668/508,1560/1420

Given numbers are 2668/508,1560/1420

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 2668,1560

Least Common Multiple of Numerators i.e. LCM of 2668,1560 is 1040520.

GCF of Denominators means GCF of 508,1420 as per the given fractions.

GCF of 508,1420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2668,1560

LCM of Fractions 2668/508,1560/1420 is 260130

2 2668, 1560
2 1334, 780
667, 390

∴ So the LCM of the given numbers is 2 x 2 x 667 x 390 = 1040520

Least Common Multiple of 2668,1560 with GCF Formula

Least Common Multiple of 2668,1560 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 2668,1560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2668,1560) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2668,1560) x common factors =4 x 1 = 4

LCM(2668,1560) = ( 2668 × 1560 ) / 4

LCM(2668,1560) = 4162080 / 4

LCM(2668,1560) = 1040520


Lets's calculate GCF of 508,1420

2 508, 1420
2 254, 710
127, 355

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040520/4

Therefore the LCM of Fractions 2668/508,1560/1420 is 260130

Greatest Common Factor of 508,1420 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,1420 By Matching Biggest Common Factor Method

Factors of 508

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

1,2,4,127,254,508

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Greatest Common Factor

We found the factors 508,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 508,1420 is 4.


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 2668/508, 1560/1420

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 2668/508, 1560/1420?

Answer: LCM of Numerators as per given numbers 2668/508, 1560/1420 is

LCM of Numerators i.e. for 2668,1560 is 1040520

GCF of denominators i.e. for 508,1420 is 4.

Thus, LCM of Fractions is 260130.Finally, LCM of Fractions for 2668/508, 1560/1420 is 260130.