Least Common Multiple of 970/336, 4200/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/336, 4200/824 quickly i.e. 50925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/336, 4200/824 is 50925.

LCM(970/336, 4200/824) = 50925

LCM of 970/336, 4200/824

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 970/336,4200/824

Given numbers are 970/336,4200/824

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 970,4200

Least Common Multiple of Numerators i.e. LCM of 970,4200 is 407400.

GCF of Denominators means GCF of 336,824 as per the given fractions.

GCF of 336,824 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,4200

LCM of Fractions 970/336,4200/824 is 50925

2 970, 4200
5 485, 2100
97, 420

∴ So the LCM of the given numbers is 2 x 5 x 97 x 420 = 407400

Least Common Multiple of 970,4200 with GCF Formula

Least Common Multiple of 970,4200 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 970,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,4200) = 10

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

GCF(970,4200) x common factors =10 x 1 = 10

LCM(970,4200) = ( 970 × 4200 ) / 10

LCM(970,4200) = 4074000 / 10

LCM(970,4200) = 407400


Lets's calculate GCF of 336,824

2 336, 824
2 168, 412
2 84, 206
42, 103

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407400/8

Therefore the LCM of Fractions 970/336,4200/824 is 50925

Greatest Common Factor of 336,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,824 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

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

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 336,824 . The biggest common factor number is the GCF number.
So the greatest common factor 336,824 is 8.


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 970/336, 4200/824

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 970/336, 4200/824?

Answer: LCM of Numerators as per given numbers 970/336, 4200/824 is

LCM of Numerators i.e. for 970,4200 is 407400

GCF of denominators i.e. for 336,824 is 8.

Thus, LCM of Fractions is 50925.Finally, LCM of Fractions for 970/336, 4200/824 is 50925.