Least Common Multiple of 870/672, 5692/1360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/672, 5692/1360 quickly i.e. 2476020/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/672, 5692/1360 is 2476020/16.

LCM(870/672, 5692/1360) = 2476020/16

LCM of 870/672, 5692/1360

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 870/672,5692/1360

Given numbers are 870/672,5692/1360

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 870,5692

Least Common Multiple of Numerators i.e. LCM of 870,5692 is 2476020.

GCF of Denominators means GCF of 672,1360 as per the given fractions.

GCF of 672,1360 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,5692

LCM of Fractions 870/672,5692/1360 is 2476020/16

2 870, 5692
435, 2846

∴ So the LCM of the given numbers is 2 x 435 x 2846 = 2476020

Least Common Multiple of 870,5692 with GCF Formula

Least Common Multiple of 870,5692 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 870,5692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,5692) = 2

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

GCF(870,5692) x common factors =2 x 1 = 2

LCM(870,5692) = ( 870 × 5692 ) / 2

LCM(870,5692) = 4952040 / 2

LCM(870,5692) = 2476020


Lets's calculate GCF of 672,1360

2 672, 1360
2 336, 680
2 168, 340
2 84, 170
42, 85

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2476020/16

Therefore the LCM of Fractions 870/672,5692/1360 is 2476020/16

Greatest Common Factor of 672,1360 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,1360 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Greatest Common Factor

We found the factors 672,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 672,1360 is 16.


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 870/672, 5692/1360

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 870/672, 5692/1360?

Answer: LCM of Numerators as per given numbers 870/672, 5692/1360 is

LCM of Numerators i.e. for 870,5692 is 2476020

GCF of denominators i.e. for 672,1360 is 16.

Thus, LCM of Fractions is 2476020/16.Finally, LCM of Fractions for 870/672, 5692/1360 is 2476020/16.