Least Common Multiple of 10/21, 65/376, 350/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/21, 65/376, 350/915 quickly i.e. 4550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/21, 65/376, 350/915 is 4550.

LCM(10/21, 65/376, 350/915) = 4550

LCM of 10/21, 65/376, 350/915

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 10/21,65/376,350/915

Given numbers are 10/21,65/376,350/915

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 10,65,350

Least Common Multiple of Numerators i.e. LCM of 10,65,350 is 4550.

GCF of Denominators means GCF of 21,376,915 as per the given fractions.

GCF of 21,376,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,65,350

LCM of Fractions 10/21,65/376,350/915 is 4550

2 10, 65, 350
5 5, 65, 175
1, 13, 35

∴ So the LCM of the given numbers is 2 x 5 x 1 x 13 x 35 = 4550

Least Common Multiple of 10,65,350 with GCF Formula

Least Common Multiple of 10,65,350 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 10,65,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,65,350) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(10,65,350) x common factors =5 x 10 = 50

LCM(10,65,350) = ( 10 × 65 × 350 ) / 50

LCM(10,65,350) = 227500 / 50

LCM(10,65,350) = 4550


Lets's calculate GCF of 21,376,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4550/1

Therefore the LCM of Fractions 10/21,65/376,350/915 is 4550

Greatest Common Factor of 21,376,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,376,915 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 21,376,915 . The biggest common factor number is the GCF number.
So the greatest common factor 21,376,915 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 10/21, 65/376, 350/915

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 10/21, 65/376, 350/915?

Answer: LCM of Numerators as per given numbers 10/21, 65/376, 350/915 is

LCM of Numerators i.e. for 10,65,350 is 4550

GCF of denominators i.e. for 21,376,915 is 1.

Thus, LCM of Fractions is 4550.Finally, LCM of Fractions for 10/21, 65/376, 350/915 is 4550.