Least Common Multiple of 376/210, 2396/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/210, 2396/840 quickly i.e. 225224/210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/210, 2396/840 is 225224/210.

LCM(376/210, 2396/840) = 225224/210

LCM of 376/210, 2396/840

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 376/210,2396/840

Given numbers are 376/210,2396/840

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 376,2396

Least Common Multiple of Numerators i.e. LCM of 376,2396 is 225224.

GCF of Denominators means GCF of 210,840 as per the given fractions.

GCF of 210,840 is 210 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,2396

LCM of Fractions 376/210,2396/840 is 225224/210

2 376, 2396
2 188, 1198
94, 599

∴ So the LCM of the given numbers is 2 x 2 x 94 x 599 = 225224

Least Common Multiple of 376,2396 with GCF Formula

Least Common Multiple of 376,2396 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 376,2396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,2396) = 4

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

GCF(376,2396) x common factors =4 x 1 = 4

LCM(376,2396) = ( 376 × 2396 ) / 4

LCM(376,2396) = 900896 / 4

LCM(376,2396) = 225224


Lets's calculate GCF of 210,840

2 210, 840
3 105, 420
5 35, 140
7 7, 28
1, 4

∴ So the GCF of the given numbers is 2 x 3 x 5 x 7 = 210

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225224/210

Therefore the LCM of Fractions 376/210,2396/840 is 225224/210

Greatest Common Factor of 210,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,840 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

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

Greatest Common Factor

We found the factors 210,840 . The biggest common factor number is the GCF number.
So the greatest common factor 210,840 is 210.


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 376/210, 2396/840

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 376/210, 2396/840?

Answer: LCM of Numerators as per given numbers 376/210, 2396/840 is

LCM of Numerators i.e. for 376,2396 is 225224

GCF of denominators i.e. for 210,840 is 210.

Thus, LCM of Fractions is 225224/210.Finally, LCM of Fractions for 376/210, 2396/840 is 225224/210.