Least Common Multiple of 35/370, 98/312, 447/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/370, 98/312, 447/950 quickly i.e. 109515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/370, 98/312, 447/950 is 109515.

LCM(35/370, 98/312, 447/950) = 109515

LCM of 35/370, 98/312, 447/950

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 35/370,98/312,447/950

Given numbers are 35/370,98/312,447/950

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 35,98,447

Least Common Multiple of Numerators i.e. LCM of 35,98,447 is 219030.

GCF of Denominators means GCF of 370,312,950 as per the given fractions.

GCF of 370,312,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,98,447

LCM of Fractions 35/370,98/312,447/950 is 109515

7 35, 98, 447
5, 14, 447

∴ So the LCM of the given numbers is 7 x 5 x 14 x 447 = 219030

Least Common Multiple of 35,98,447 with GCF Formula

Least Common Multiple of 35,98,447 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 35,98,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,98,447) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,98,447) x common factors =1 x 7 = 7

LCM(35,98,447) = ( 35 × 98 × 447 ) / 7

LCM(35,98,447) = 1533210 / 7

LCM(35,98,447) = 219030


Lets's calculate GCF of 370,312,950

2 370, 312, 950
185, 156, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219030/2

Therefore the LCM of Fractions 35/370,98/312,447/950 is 109515

Greatest Common Factor of 370,312,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,312,950 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 370,312,950 . The biggest common factor number is the GCF number.
So the greatest common factor 370,312,950 is 2.


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 35/370, 98/312, 447/950

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 35/370, 98/312, 447/950?

Answer: LCM of Numerators as per given numbers 35/370, 98/312, 447/950 is

LCM of Numerators i.e. for 35,98,447 is 219030

GCF of denominators i.e. for 370,312,950 is 2.

Thus, LCM of Fractions is 109515.Finally, LCM of Fractions for 35/370, 98/312, 447/950 is 109515.