Least Common Multiple of 476/840, 598/121, 654/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 476/840, 598/121, 654/650 quickly i.e. 46539948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/840, 598/121, 654/650 is 46539948.

LCM(476/840, 598/121, 654/650) = 46539948

LCM of 476/840, 598/121, 654/650

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 476/840,598/121,654/650

Given numbers are 476/840,598/121,654/650

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 476,598,654

Least Common Multiple of Numerators i.e. LCM of 476,598,654 is 46539948.

GCF of Denominators means GCF of 840,121,650 as per the given fractions.

GCF of 840,121,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,598,654

LCM of Fractions 476/840,598/121,654/650 is 46539948

2 476, 598, 654
238, 299, 327

∴ So the LCM of the given numbers is 2 x 238 x 299 x 327 = 46539948

Least Common Multiple of 476,598,654 with GCF Formula

Least Common Multiple of 476,598,654 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 476,598,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,598,654) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(476,598,654) x common factors =2 x 2 = 4

LCM(476,598,654) = ( 476 × 598 × 654 ) / 4

LCM(476,598,654) = 186159792 / 4

LCM(476,598,654) = 46539948


Lets's calculate GCF of 840,121,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46539948/1

Therefore the LCM of Fractions 476/840,598/121,654/650 is 46539948

Greatest Common Factor of 840,121,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,121,650 By Matching Biggest Common Factor Method

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

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 840,121,650 . The biggest common factor number is the GCF number.
So the greatest common factor 840,121,650 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 476/840, 598/121, 654/650

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 476/840, 598/121, 654/650?

Answer: LCM of Numerators as per given numbers 476/840, 598/121, 654/650 is

LCM of Numerators i.e. for 476,598,654 is 46539948

GCF of denominators i.e. for 840,121,650 is 1.

Thus, LCM of Fractions is 46539948.Finally, LCM of Fractions for 476/840, 598/121, 654/650 is 46539948.