Least Common Multiple of 319/88, 700/61, 664/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/88, 700/61, 664/954 quickly i.e. 37067800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/88, 700/61, 664/954 is 37067800.

LCM(319/88, 700/61, 664/954) = 37067800

LCM of 319/88, 700/61, 664/954

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 319/88,700/61,664/954

Given numbers are 319/88,700/61,664/954

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 319,700,664

Least Common Multiple of Numerators i.e. LCM of 319,700,664 is 37067800.

GCF of Denominators means GCF of 88,61,954 as per the given fractions.

GCF of 88,61,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,700,664

LCM of Fractions 319/88,700/61,664/954 is 37067800

2 319, 700, 664
2 319, 350, 332
319, 175, 166

∴ So the LCM of the given numbers is 2 x 2 x 319 x 175 x 166 = 37067800

Least Common Multiple of 319,700,664 with GCF Formula

Least Common Multiple of 319,700,664 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 319,700,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,700,664) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(319,700,664) x common factors =1 x 4 = 4

LCM(319,700,664) = ( 319 × 700 × 664 ) / 4

LCM(319,700,664) = 148271200 / 4

LCM(319,700,664) = 37067800


Lets's calculate GCF of 88,61,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37067800/1

Therefore the LCM of Fractions 319/88,700/61,664/954 is 37067800

Greatest Common Factor of 88,61,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,61,954 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 88,61,954 . The biggest common factor number is the GCF number.
So the greatest common factor 88,61,954 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 319/88, 700/61, 664/954

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 319/88, 700/61, 664/954?

Answer: LCM of Numerators as per given numbers 319/88, 700/61, 664/954 is

LCM of Numerators i.e. for 319,700,664 is 37067800

GCF of denominators i.e. for 88,61,954 is 1.

Thus, LCM of Fractions is 37067800.Finally, LCM of Fractions for 319/88, 700/61, 664/954 is 37067800.